## Statistics and Probability

At the end of the course, the students must know how to find the mean and variance of a random variable, to apply sampling techniques and distributions, to estimate population mean and proportion, to perform hypothesis testing on population mean and proportion, and to perform correlation and regression analyses on real-life problems.

TRUETrue or False: People whose names were drawn out of the survey is an example of a random sample
RejectGiven a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted: 2.35
7Given the equation y = 7x+ 30, what is the slope?
Mean = 88Compute for the confidence intervals of the following data:
1.992What is the test statistic for this scenario?
IncreasesAs the confidence interval for a given statistics increases in length, the confidence level ___________.
TRUETrue or False: Sample Distribution of sample means is the the distribution that describes the spread of the means of multiple samples from the sample population TRUE
Always equal to zero.In a normal curve, z-score is ______________.
MeanIt is located at the middle of the normal curve.
All values are less than the mean.
Given the set of data:
1,1, 2, 2, 3, 3, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
Find the upper quartile
Assuming z-score is -1, which of the following statement is TRUE.
FALSEQ: True or False: The number of questions that you answer correctly on this quiz is an example of a discrete random variable.
0.083Given the sample size (n=230) and sample proportion (p=0.35), find the approximate margin of error for the 95% confidence interval:
152Find the sample size given 99% confidence, Margin of Error = 0.10 and ^p =0.35.
81Find the sample size given 95% confidence, Margin of Error = 0.10 and ̂p =0.30.
5Given the equation 3y = x+15, what is the y intercept?
µ = 8, s = 4, n = 99, x¯ = 7.2Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
Perfectly asymmetricWhich of the following is not a characteristics of a normal distribution.
FALSEQ: True or False: Mean is the sum of all possible values of random variables.
228Find the sample size given 90% confidence, Margin of Error = 0.05 and ̂p =0.30.
0.32A survey was conducted from the 250 individuals. Based on the result of the survey, 170 are satisfied with the current Local Government administration. Estimate the sample proportion ^p of those who are not satisfied based on the sample provided.
-1.99µ = 8, s = 4, n = 99, x¯ = 7.2
Mutually inclusiveThe alternative hypothesis and null hypothesis should be ________________.
parabolaThe equation y=8x2 + 4 will produce a
µ = 8.5, s = 4, n = 99, x¯ = 7.2Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
0.087A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher.
What is the standard error of the proportion?
TRUEHow do you determine the value of the mean,
TRUEA continuous random variable assigns a whole number to each possible outcome of an experiment.: None of the choices; False; True; The statement has insufficient information. True
Direction, Shape, StrengthThe three important characteristics of a bivariate?
8Given the equation y = 8x+ 14, what is the slope?
6x+4Write the slope-intercept equation of the line that has slope 6 and y-intercept 4.
Carl Friedrich GaussQ: Who is the famous mathematician where the normal distribution curve was named after?
correlation coefficient can never be a zero valueWhich of the following is INCORRECT about correlation coefficient.
FALSETrue or False: The probability of an outcome that all heads face up when fairly tossing three coin is 3/8. False
0.026About 30% of the male population living in an urban area smokes cigarette. A researcher believes that male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
0.0726Find a 90% lower confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
FALSETrue or False: Variance is the degree to which values of a random variable differ from the expected value. False
8Q: How many possible outcomes when you simultaneously toss three fair coins.
3.31Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
30Q: In order to apply the Central Limit Theorem, a sample size must be greater than or equal to _______.
Z scoreQ: In a normal curve, a ___ of 1 means 1 deviation data are above the average.
252If there are 5 students that are randomly selected from population of 10 for each sample, how many will be the possible samples?
FALSErue or False: As the sample size increases, the standard error increases. FALSE
Points on a scatterplot lie on a straight lineA perfect correlation pattern is produced when
80.08, 84.23Confidence level = 95%
TRUEThe sum of all the probabilities P(X = x) for all possible values of a discrete random variable X must equal 1.
2.6Given the following mean, compute for the Mean of Means. The answer must have two decimal places.
4.5, 9.2, 9.1, 8.4
Sample Distribution of sample meansThe distribution that describes the spread of the means of multiple samples from the sample population
1.191A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher.
What is the test statistic for this scenario?
53In an IT Certification Examination, the mean was 50 and the standard deviation was 3. If Pam z-scored is 1, what was her score in the examination?
Distribution of sample means may be assumed normal as long as sample size is greater than or equal to 30.Which of the following applies to Central Limit Theorem?
Positive CorrelationIn a ____________, high values in one variable correspond to high values in the other variable.
-3.23Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
µ = 8.5, s = 4, n = 99, x¯ = 7.2
(58.59, 61.41)Given n=60, x̄ =250, s=3, 99% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.
-1.26What is the test statistic for this scenario?
1.15Given n=20, x̄ =89, s=2, 99% confidence. Assuming that the samples come from a normal distribution, find the margin of error.
CONTINUOUSIdentify if the random variable is a DISCRETE or CONTINUOUS. The brightness of an LED bulb CONTINUOUS
0.087What is the standard error of the proportion?
Explanatory variableYear is an example of a
4.1Q: Consider the given the probability distribution
TRUETrue or False: Standard deviation of a distribution of means is the standard error of the mean.
flattenIn a normal distribution, the tail of the curve __________ along the horizontal axis.
The statement is TRUE.The sum of all the probabilities P(X = x) for all possible values of a discrete random variable X must equal 1.: The statement is NOT ALWAYS TRUE; The statement is FALSE.; The statement is TRUE.; The statement is NOT ALWAYS FALSE
More people like android than IOS phoneWhat is the null hypothesis to the claim that people like android phone than IOS? State the null hypothesis.
NoQ: Identify whether each example describes a random sample. Answer with Yes or No. A teacher conducts examination to all his students.
-2.86Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 25, s = 5, n = 80, x¯ = 23.4
1.2Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
µ = 31.2, σ = 3, n = 66, x̄ = 32Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
80%A survey was conducted to 200 Grade 6 students who uses the internet in research instead of the school library. Based on the survey, 160 students responded Yes. What is the population proportion to students who uses the library in their research?
1In a normal distribution curve, the total area of the curve is
0.667What is the observed value of the sample proportion?
Mean value of the variable subtracted from the observed value divided by the standard deviationQ: What is the formula to calculate for the z-score?
All of the choicesWhich of the following applies to confidence interval
57Find the sample size given 95% confidence, Margin of Error = 0.12 and ̂p = 0.30.
31Q: Find the median of the following data set. 11, 13, 15, 17, 19, 21, 22, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 51, 53, 55, 57, 59
60If the standard deviation of a population is 300, and samples of 25 units each are taken, what is the Standard deviation of the distribution of the sample means? 60
0.667A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher.
10; 0; 3,4,5,6,7,8,9,10; 6 6Given the set of dat1,1, 2, 2, 3, 3, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 How many numbers are in the lower quartile?
Accept the null hypothesisThe traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
At the 10% level of significance, test the traffic management office’s claim. Based on the test, what can you conclude?
Normal CurveBell shaped curve.
196The Engineer of the building wants to use the proportion of the population to determine the sample size needed to interview regarding their idea about the new color design of the building. He wants to be able to assure with probability 0.90 that his error will be most 0.10. Similar surveys during past year that 85% approved the new color design. How large a sample does the Engineer need?
1abilities P(X = x) for all possible values of a discrete random variable X must equal to ______. 1
FALSEQ: True or False: As the sample size increases, the standard error increases.
0In a normal curve, the mean always has a z score of ____
The line is a horizontal lineIf the line has no slope or equal to zero
CONTINUOUSIdentify if the random variable is a DISCRETE or CONTINUOUS. Weight of students in a university CONTINUOUS
TRUETrue or False: In Central Limit Theorem, the mean of the sampling distribution of the mean is equal to the population mean.
ßThe probability of making type I error is
TRUEStandard deviation of a distribution of means is the standard error of the mean.
77.7Compute for the point estimate of the population parameter. Round off your answer to the nearest hundredths or has two decimal places, if necessary.
Scores of students in quizzes
positive linear associationThe data had a _________________ when one variable increases, the other variable also increases.
80Find the sample size given 90% confidence, Margin of Error = 0.08 and ̂p =0.25.
Null hypothesisThe average internet usage of a College student is 6 hours.
(26.36, 29.63)Given n=10, x¯ =28, s=2.0, 99% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.
Probability of committing a Type I errorThe level of significance is the
4.53Q: Given the following sample data, compute for the true mean. The answer must have two decimal places.1 1 1 2 3 4 5 5 5 8 8 8 8
The process of assigning a number to each member of the populationAccording to the Empirical Rule, ________ % of the sample estimates will fall within one standard error above the population parameter.
90%, 95%, 99%Common choices for the confidence level.
TRUEQ: The sum of all the probabilities P(X = x) for all possible values of a discrete random variable X must equal 1.
8How many possible outcomes when you simultaneously toss three fair coins. 8
Alternative hypothesisThe proportion of computer in the software laboratory is lower than the total number of BS IT students in the university.
TRUEA continuous random variable assigns a whole number to each possible outcome of an experiment.
1The sum of all the probabilities P(X = x) for all possible values of a discrete random variable X must equal to _____
Less than 10%For example, a 90% confidence interval covers 90% of the normal curve, so the probability of observing a value outside of this area is ____________.
FALSETrue or False: The number of questions that you answer correctly on this quiz is an example of a discrete random variable.
9Given the equation 9y = 2x + 81, what is the y intercept?
FALSE. Replace the word “Margin of Error” with “Point Estimate”Margin of Error is in the center of the confidence interval?
0.059Given the sample size (n=400) and sample proportion (p=0.70), find the approximate margin of error for the 99% confidence interval:
0.0741The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
Alternative hypothesisThe proportion of an employee income is greater than the monthly expenses of the employee.
Sample MeanQ: A single value given as an estimate of a parameter of a population.
FALSETrue or False: Variance is the degree to which values of a random variable differ from the expected value.
FALSETrue or False: In Central Limit Theorem, the standard deviation of the distribution of means is estimated by dividing the standard deviation of the population by the square of the sample size.
DISCRETEIdentify if the random variable is a DISCRETE or CONTINUOUS. Number of winning tournaments of a varsity team DISCRETE
Point EstimateMean of means is also called
0.9The effectiveness of the sample android application can be measured by the proportion of mobile users who install the application. To determine this proportion for a specific android app, the distributed to 500 users and 450 user install the app. The point estimate is ____________.
TRUETrue or False: A random sample of size 49 is selected from a known population with a mean of 29 and a standard deviation of 3.3. Samples of the same size are repeatedly collected, allowing a sampling distribution of sample means to be drawn. The sampling distribution of sample mean will be approximately a normal curve.
Weak positive correctionDescribe the relationship based when r value = 0.20
None of the choices.Countless number of values are also known as Answer continuous.. variables. Which of the following random activity would you define as a discrete random variable?
0.137A businessman is increasing his price for processed food, claiming that the cost of labor and material is going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found out that in 6 of the processed food, the cost of the material is higher.
What is the standard error of the proportion?
The statement is FALSE.The goal of examining bivariate data is to show some relativity or association between two or more variables.
(19,804, 20,196)King Lo Electronics claims that the new brand of computer will last for 25,000 hours. A research company conducted a test on the information. The company randomly select and test 100 cellular phone. The data from the sample shows that the mean life of the cellular phone is 20,000 hours, with a standard deviation of 1000 hours. Determine the 95% confidence interval of the mean life of the cellular phone.
The statement is FALSE. Replace the word small with large.A sample is small when n≤30
0.675What is the observed value of the sample proportion?
VarianceQ: This determines the degree to which values of a random variable dif
Accept the null hypothesisA building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher.
At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you conclude?
FALSEQ: True or False: The Greek letter alpha represents the mean.
39Q: Find the median of the following data set. 44, 46, 29, 39, 59, 59, 39
YESIdentify whether each example describes a random sample. Answer with Yes or No Shake a bag of colored balls, reach in and select a marble with eyes closed. Yes
0.77Compute for the margin of error given the following data:
Mean = 77
Standard deviation = 3
Sample size = 100
Confidence coefficient = 2.58
Note that the answer must be rounded off to the nearest hundredths.
0.267About 30% of the male population living in an urban area smokes cigarette. A researcher believes that male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
FALSETrue or False: If the population is normally distributed, the sampling distribution of sample mean is equal to 1.
8 6 . 2 5Find the point estimate of the population parameter of the grades of students. The answer must be rounded off to the nearest hundredths.
DISCRETEQ: Identify if the random variable is a DISCRETE or CONTINUOUS. Total number of volunteers in a community
FALSETrue or False: As the sample size increases, the standard error increases. FALSE True or False: Mean is the sum of all possible values of random variables. False
6Given the set of data:
1,1, 2, 2, 3, 3, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
How many numbers are in the lower quartile?
Normal quantile plotQ: Use to check the normality of a distribution
FALSETrue or False: Random distribution is the process of assigning a number to each member of the population FALSE
TRUEQ: True or False: People whose names were drawn out of the survey is an example of a random sample
7Given the equation 3y = 21x + 9, what is the slope?
FALSE. Replace the word Sampling distribution with Confidence CoefficientSampling distribution of proportions is randomly distributed.
FALSEAs the confidence interval for a given statistic increases in length, the confidence level decreases.
No The sum of all the probIdentify whether each example describes a random sample. Answer with Yes or No. A teacher conducts examination to all his students.
0.675The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
Basic CurveQ: Normal Distribution Curve is also called
Accept the null hypothesisAt the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you conclude?
0.6Suppose a new cancer treatment is given to a sample of 500 patients. The treatment was successful for 300 of the patients. Assume that these patients are representative of the population of individuals who have this cancer.
Calculate the sample proportion that was successfully treated.
Null hypothesisThe average income of an employee is 12,000 pesos.
5Given the equation 2y = 3x + 10, what is the y intercept?
60If the standard deviation of a population is 300, and samples of 25 units each are taken, what is the Standard deviation of the distribution of the sample means?
Determine whether each of the following is a null of an alternative hypothesis:Rejection region and Critical region
withinThe mean of sample should fall ________________ the lower and upper values of the confidence interval.
Reject null hypothesisSt. Therese senior high school have an average achievement test score of 900. From a random sample of 169 students St. Therese students we find the average achievement test score to be 850 with a standard deviation of 88. We want to know if these high school students are representative of the overall population: What can we conclude based on the hypotheses and test statistic?
The sampling distribution of sample mean is normalIf the population is normally distributed,
0.74Given n=20, x̄ =30, s=2, 90% confidence. Assuming that the samples come from a normal distribution, find the margin of error.
Year is the explanatory variable and water consumption is the response variableYear and household monthly water consumption in the Philippines
TRUETrue or False: To determine the value of the mean, multiply each possible outcome of the random variables X by its associated probability and the take the sum over all possible values of X. True
FALSEScatter plot is a series of connected points to form a line.
Less than 10%Q: For example, a 90% confidence interval covers 90% of the normal curve, so the probability of observing a value outside of this area is __________.
CONTINUOUSIdentify if the random variable is a DISCRETE or CONTINUOUS. Mobile data consumed by a telephone subscriber CONTINUOUS
YESIdentify whether each example describes a random sample. Answer with Yes or No. Select all 100 poor households in a community in areas in the Philippines affected by the earthquake. Yes
square rootMargin of Error is computed as quotient of the standard deviation and the ____________ of the sample size multiplied by the confidence coefficient.
Do not RejectGiven a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted: 0.131
Standard deviation of the population divided by the square root of the sample sizeWhat is the formula to calculate the standard deviation of the sampling distribution?
0.78Compute for the margin of error given the following data:
Mean = 80
Standard deviation = 4
Sample size = 100
Confidence level = 95%
Note that the answer must be rounded off to the nearest hundredths.
0.034 correctIn a ____________, high values in one variable correspond to high values in the other variable.
43Find the sample size given 99% confidence, Margin of Error = 0.18 and ^p =0.30.
4.21. Given the data set, find the Mean Value or Expected value (round off your answer to the nearest tenths): 4.2
Random SamplingThe process of assigning a number to each member of the population
0.99µ = 20.8, σ = 4, n = 99, x̄ = 21.2
used to estimate population parameterPoint estimate is
Accept the null hypothesisA Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.
At the 10% level of significance, test the Police Sub Station claims. Based on the test, what can you conclude?
all of the choicesWhich of the following is tells about t distribution,
FALSETrue or False: Mean of means is the sum of all means multiplied by the number of means FALSE
0.0726A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that 75% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for this survey was given as ±10 percentage points.
Find a 90% lower confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
scatter plotGraphical representation of the relationship between two variables.
0.467A random sample of size is 50 is selected from a known population with a mean of 13 and a standard deviation of 3.3. Samples of the same size are repeatedly collected, allowing a sampling distribution of sample means to be drawn. What is the approximate standard deviation of the sample means?
add/subtractMargin of Error is the value that _______________ from the mean to identify the confidence interval.
Accept null hypothesisSt. Therese senior high school have an average achievement test score of 96. From a random sample of 49 students St. Therese students we find the average achievement test score to be 98 with a standard deviation of 88. We want to know if these high school students are representative of the overall population. What can we conclude based?
FALSEThe range of possible values expected to capture the population mean is called the Margin of Error.
NOIdentify whether each example describes a random sample. Answer with Yes or No Women who volunteer to take a survey on human rights. No
TRUEIn hypothesis testing, the computed statistics is compared to the critical value for decision making.
None of the choicesQ: Given the following table, what is the correct computation to find mean?
x,0,1,2
p(x),0.30,0.20,0.10
0.1255What is the probability distribution of occurring the all heads in a toss of three coins?
Do not RejectGiven a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted: 1.2
FALSEA curve is said to be symmetric if all data points lies at the right side of the curve.
0.053Given the sample size (n=200) and sample proportion (p=0.70), find the approximate margin of error for the 90% confidence interval:
Z scoreQ: In a normal curve, a _ of 1 means 1 deviation data are above the average.
interval estimateThis is defined by two values, between which a population parameter is said to lie.
68Q: Empirical Rule states that ___ % of data falls within the first standard deviation from the mean.
statisticsThese are numbers that summarizes data from a sample.
65.41, 66.59Compute for the confidence intervals of the following data:
Mean = 66
Standard deviation = 3
Sample size = 100
Confidence level = 95%
Sample MeanA single value given as an estimate of a parameter of a population.
14Q: Given the data set 10,11,11,12,12,12,13,13,13,13,24,24,14,15,15,16, find the upper quartile
Smaller samplesT distribution is use to estimate population mean interval for:
Margin of ErrorThis is the value that is added to and subtracted from the mean to identify the confidence interval.
CONTINUOUSIdentify if the random variable is a DISCRETE or CONTINUOUS. Time travelled by an astronaut CONTINUOUS
FALSETrue or False: Variance Error is the difference between a sample statistic used to estimate a population parameter and the actual but unknown value of the parameter
FALSEQ: Empirical Rule states that 68% of the data falls within the 1 standard deviation.
This separates the rejection region to the region where we do not reject the null hypothesis.The statement is TRUE.
YESIdentify whether each example describes a random sample. Answer with Yes or No. Collects the number of students who rides on the train.
Null hypothesisA police precinct claims that there is ten crimes on the average are reported.
1.99 ; 1.44 ; 1.233; 2.466 1.99Consider the given the probability distribution What is the variance?
0.05Given the sample size (n=250) and sample proportion (p=0.40), find the approximate margin of error for the 90% confidence interval:
Sample ProportionIdentify the following formul1- q̂
Accept the null hypothesisAt the 10% level of significance, test the Police Sub Station claims. Based on the test, what can you conclude?
normal curveAlso known as Bell shaped curve.
INCORRECTThe data set that approximates a normal distribution is located at the left side of the curve wherein mean is greater than median.: The statement is SOMETIMES TRUE.; The statement is ALWAYS TRUE.; The statement is INCORRECT; None of the choices. The statement is INCORRECT
scatter plotThe series of disconnected points is referred to as _________________________
0.041A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.
What is the standard error of the proportion?
Strong positive correctionDescribe the relationship based when r value = 0.75
Null hypothesis and critical valuesValues supporting the ___________________ occurs in the rejection region.
31Find the median of the following data set.
11, 13, 15, 17, 19, 21, 22, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 51, 53, 55, 57, 59
No relationshipDescribe the relationship based on the r-value r=0,
YESIdentify whether each example describes a random sample. Answer with Yes or No. The speed of internet in all areas in the Visayas Region. Yes
17%A survey was conducted to 300 Grade 10 students who have Internet access to determine who access social media websites after attending classes. Based on the survey, 250 students responded Yes. What is the population proportion to students who do not access social media after attending classes?
1What is the probability of getting the same numbers on 3 dice when they are thrown simultaneously? 1
-1.26About 30% of the male population living in an urban area smokes cigarette. A researcher believes that male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette:
#ERROR!Linear correlation coefficient is always a value between ____ and ____.
slope intercept formThe equation y=mx + b is also known as
Do not Reject1.11
No apparent correlationDescribe the relationship based when r value = 0.01
TRUETrue or False: People whose names were drawn out of the survey is an example of a random sample TRUE
CONTINUOUSTrue or False: As the sample size increases, the standard error increases. FALSE Identify if the random variable is a DISCRETE or CONTINUOUS. Mobile data consumed by a telephone subscriber CONTINUOUS
TRUETrue or False: Parameters are numbers that summarizes data for an entire population TRUE
126Find the sample size given 99% confidence, Margin of Error = 0.11 and ̂p = 0.35.
y=-3x + 3Given the table and graph, determine the slope intercept equation.
(249.07, 250.93) – correctGiven n=50, x̄ =250, s=4, 90% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.
DISCRETEQ: Identify if the random variable is a DISCRETE or CONTINUOUS. Number of winning tournaments of a varsity team
2.09Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
µ = 77, s = 6, n = 109, x¯ = 78.2
y=8x + 3Given the table below, what is the linear equation?
0.087A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher.
∑; Α; Ω; µ µWhat is the common symbol for the mean?
Sample size = 100Standard deviation = 6
2Given the equation 9y = 18x + 9, what is the slope?
CorrelationThis measures relationship between bivariate data.
FALSETrue or False: The probability variance of a discrete random variable is a graph, a table or a formula that specifies the probability associated with each possible value that the random variable can assume. False
TRUEWhich of the following statement is TRUE.: Non-countable values are called discrete variables; Countable number of values are called discrete variables;
NoRenmel closes his eyes, opens a book and randomly points to a word on the page. She repeats the process for 30 times.
NoIdentify whether each example describes a random sample. Answer with Yes or No.
all of the choicesWhich of the following does describes a T distribution?
– 3.1Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
The statement is INCORRECTThe data set that approximates a normal distribution is located at the left side of the curve wherein mean is greater than median.: The statement is INCORRECT; The statement is SOMETIMES TRUE.; None of the choices.; The statement is ALWAYS TRUE.
YESIdentify whether each example describes a random sample. Answer with Yes or No. Collects the number of students who rides on the train. Yes
y=2x + 7Given the table below, what is the linear equation?
FALSEBivariate is defined as the analysis of a single variable.
0.564 < p < 0.640Determine a 90% confidence interval for the proportion successful treated.
FALSE. Change “confidence coefficient” to sample meanConfidence coefficient is a single value given as an estimate of a parameter of a population.
(43.355, 46.645)Given n=100, x¯ =45, s=2.0, 90% confidence. Assuming that the samples come from a normal distribution, find the interval estimate of the population mean.
meanThe average of the population.
10.8Given the following sample data, compute for the true mean. The answer should be rounded off to one decimal place.
3 5 5 5 6 6 8 8 13 15 17 30
CONTINUOUSIdentify if the random variable is a DISCRETE or CONTINUOUS. Internet speed in an office CONTINUOUS
MeanQ: The weighted average of the possible values of random variables.
FALSEThe goal of examining bivariate data is to show some relativity or association between two or more variables.
2.17µ = 31.2, σ = 3, n = 66, x̄ = 32
8Given the table below, what is the slope?
Normal CurveQ: Normal Distribution Curve is also called
Population meanQ: In Central Limit Theorem, the mean of the sampling distribution of the mean is equal to the
2Given the table below, what is the slope?
TRUETrue or False: Sampling Error is the degree of error expected for a given sample design
1.11Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
Positive CorrelationThis pattern is produced when the score of one observation is high, the score of the other observation to be high.
TRUEIn the slope-intercept equation of a line, the slope of the line is represented as the coefficient of the variable x.
(59,706 , 60,294)Lim Electronics claims that the new brand of cellular phone will last for 80,000 hours. A research company conducted a test on the information. The company randomly select and test 100 cellular phone. The data from the sample shows that the mean life of the cellular phone is 60,000 hours, with a standard deviation of 1500 hours. Determine the 95% confidence interval of the mean life of the cellular phone.
The sampling distribution of sample mean will be approximately a normal curveA random sample of size 50 is selected from a known population with a mean of 25 and a standard deviation of 5.2. Samples of the same size are repeatedly collected, allowing a sampling distribution of sample means to be drawn. What does the problem tells us?
3; 2; 4; 1 3How many regions can be found at the left side of the normal distribution curve?
Do not RejectGiven a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted: 1.11
YESIdentify whether each example describes a random sample. Answer with Yes or No The manager chooses 30 employees randomly from a department. Yes
90%, 95%, 99%Common choices of confidence level are
the distribution approaches the shape of a normal distributionIn T distribution, if we increase the number of observations
0.131Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
76.71Sample size = 100, Mean = 80, Standard Deviation = 20, Confidence coefficient = 1.645
Equal to 1.The value of a perfect positive coefficient is ________.
1The sum of all the probabilities P(X = x) for all possible values of a discrete random variable X must equal to ______. 1
89Find the sample size given 90% confidence, Margin of Error = 0.08 and ̂p =0.30.
YESIdentify whether each example describes a random sample. Answer with Yes or No A survey company collects information on businessman in Metro Manila on who will they vote for president on the next election. Yes
∑; Ω; Α; µ µTrue or False: Sampling Error is the degree of error expected for a given sample design TRUE Identify whether each example describes a random sample. Answer with Yes or No. Collects the election results in all areas in the Philippines during election No What is the common symbol for the mean?
FALSE. Change “confidence coefficient” to sample meanQ: Confidence coefficient is a single value given as an estimate of a parameter of a population.
confidence level increasesAs the confidence interval for a given statistics increases in length,
Bell CurveQ: Normal Distribution Curve is also called
TRUEQ: True or False: In Central Limit Theorem, the mean of the sampling distribution of the mean is equal to the population mean.
0.564 < p < 0.640Suppose a new cancer treatment is given to a sample of 500 patients. The treatment was successful for 300 of the patients. Assume that these patients are representative of the population of individuals who have this cancer.
Determine a 90% confidence interval for the proportion successful treated.
Number of years is the explanatory variable and salary is the response variableSalary and number of years of experience
0.6Calculate the sample proportion that was successfully treated.
Discrete Random VariablesNumber of rooms & employees are examples of _________________.
all of the choicesWhich of the following describes a T distribution?
positive linear associationThe data had a _________________ when one variable increases, the other variable also decreases.
None of the choicesIn a normal distribution curve, data are divided into 3 equal parts.
1.191A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher.
y=5x + 1Given the table and graph, determine the slope intercept equation.
10Two dice is rolled and the sum of face up is being recorded and represented as X. What is P(x <= 5)? 10
TRUETrue or False: One of the most important characteristics of any probability distribution is the mean. True
TRUETrue or False: The formula of mean is relative to compute for the variance. True
NOCONTINUOUS Identify whether each example describes a random sample. Answer with Yes or No Renmel closes his eyes, opens a book and randomly points to a word on the page. She repeats the process for 30 times. No
NOIdentify whether each example describes a random sample. Answer with Yes or No Renmel closes his eyes, opens a book and randomly points to a word on the page. She repeats the process for 30 times. No
Line plotA _____________ is simply a scatterplot in which we connect successive chronological observations with a line segment to give more information about how the data values are changing over a period of time.
Negative linear associationGiven the data below, what is the direction of the association between the two variables.
7 0 . 2 5 k p hCompute for the point estimate of the population parameter. Round off your answer to the nearest hundredths or has two decimal places. Write the measurement at the end of the answer.
Average Speed of a car Car 1 Car 2 Car 3 Car 4
80 kph 75 kph 60 kph 66 kph
0.077Find a 90% upper confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
85.75Compute for the point estimate of the population parameter of the grades of students. (Round off your answer to the nearest hundredths.)
0.01For the 99% confidence level,
TRUEConfidence interval is associated by confidence level
1Given the equation 9y = x+9, what is the y intercept?
YESIdentify whether each example describes a random sample. Answer with Yes or No Selects all areas in the Philippines who are affected by typhoon and with 5th and 6th income class.
None of the choicesIn a normal distribution curve, data are divided into 3 equal parts.: The statement is FALSE.; None of the choices; The statement is TRUE.; The statement is SOMETIMES TRUE depending on the data set.
Point EstimateWhich of the following is used to estimate population parameter?
(0.565, 0.640)A private organization telephone poll of 750 adults, aged 18 and older, living in the country found that 60% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for this survey was given as ± 20 percentage points. Find a 95% confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
1.095A businessman is increasing his price for processed food, claiming that the cost of labor and material is going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found out that in 6 of the processed food, the cost of the material is higher.
What is the test statistic for this scenario?
Find a 90% lower confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that 75% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for this survey was given as ±10 percentage points.
Response variableExpenditure is an example of a
2.09Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 77, s = 6, n = 109, x¯ = 78.2
0.1 – correctGiven α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
35Find the sample size given 99% confidence, Margin of Error = 0.20 and ̂p =0.30.
Confidence coefficientsWhen the confidence level is 95%, the ____________________ are +- 1.96
`+1, -1Linear correlation coefficient is always a value between ____ and ____.
8How many possible outcomes when you simultaneously toss three fair coins.
0.392Given n=100, x¯ =80, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution, find the margin of error.
Probability DistributionThis tells what the possible values of X and how probabilities are assigned to these values.
DISCRETEIdentify if the random variable is a DISCRETE or CONTINUOUS. Total number of volunteers in a community
80.16Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence
CONTINUOUSQ: Identify if the random variable is a DISCRETE or CONTINUOUS. Weight of students in a university
Strong positive correctionDescribe the relationship based when r value = 0.63
196Find the sample size given 95% confidence, Margin of Error = 0.05 and ̂p=0.15.
FALSETrue or False: Standard deviation of the distribution of the sample means is computed as the population standard deviation multiplied by the square root of the sample size. FALSE
WithinA 95% confidence interval means 95% of all samples of size n would fall ______ our confidence interval
0; 1; 6; 4 4Given the data set 10,11,11,12,12,12,13,13,13,13,24,24,14,15,15,16, how many numbers are in the lower quartile?
FALSEQ: True or False: In order to apply the Central Limit Theorem, a sample size must be greater than or equal to 20.
Accept the null hypothesisA businessman is increasing his price for processed food, claiming that the cost of labor and material is going up and accounts for 75% of his budget. In a random sample of 10 of the processed food, it is found out that in 6 of the processed food, the cost of the material is higher.
At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you conclude?
4.53Given the following sample data, compute for the true mean. The answer must have two decimal places.
1 1 1 2 3 4 5 5 5 8 8 8 8
y increases as x increasesWhen slope is positive,
33Find the sample size given 95% confidence, Margin of Error = 0.15 and p ^ =0.25.
DISCRETEIdentify if the random variable is a DISCRETE or CONTINUOUS. Number of proposed thesis in a university DISCRETE
152 – correctFind the sample size given 99% confidence, Margin of Error = 0.10 and ̂p =0.35.
Do not Reject1.6
23Find the sample size given 99% confidence, Margin of Error = 0.25 and ̂p =0.30.
parabolaThe equation y=2x2 + 9 will produce a
YesQ: Identify whether each example describes a random sample. Answer with Yes or No. Collects the number of students who rides on the train.
A statistical that estimates a population parameterPoint estimate is
The line is a horizontal lineIf the line has no slope,
FALSETrue or False: In Statistics, variance is defined as the number of times an outcome can occur compared to all possible outcomes. False
Trend lineThe line that is closest to the points is called _____________.
Critical valueThis separates the rejection region to the region where we do not reject the null hypothesis.
1.24Given n=10, x¯ =28, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution, find the margin of error.
TRUEQ: True or False: Random sample happened when data is collected in no certain order
INCORRECTThe data set that approximates a normal distribution is located at the left side of the curve wherein mean is greater than median.: The statement is ALWAYS TRUE.; The statement is SOMETIMES TRUE.; None of the choices.; The statement is INCORRECT The statement is INCORRECT
All of the choicesQ: Which of the following describes a Normal Distribution Curve.
0.064Given the sample size (n=400) and sample proportion (p=0.56), find the approximate margin of error for the 99% confidence interval:
Null hypothesis µ ≥ 55, Alternative hypothesis µ < 55William collected a random sample of 88 people, asking how many times they open ABC web site per day on average, and calculated x¯ = 50.30. ABC suggests that µ = 55, and s = 10. William thinks the actual mean is less than the website owner claims. What is the null and alternative hypothesis?
TRUETrue or False: The bigger the sample size, the more closely the samples will be clustered around the true value. TRUE
1.992A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.
What is the test statistic for this scenario?
Z scoreIn a normal curve, a _____ of 1 means 1 deviation data are above the average.
TRUETrue or False: Mean is computed as the weighted average of the possible numbers of random variables.
8Given the set of data:
1, 1, 2, 2, 3, 3, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
Find the lower quartile
TRUETrue or False: To determine the value of the mean, multiply each possible outcome of the random variables X by its associated probability and the take the sum over all possible values of X.
A sample size greater than or equal to 30In order to apply the Central Limit Theorem, which of the statement applies?
Favorable response, Total number of responsesProportion is a fraction expression where the _____________________ is in the numerator and the _____________________ is the denominator.
5.981. Given the data set below, compute for the variance. (Round off your answer to the nearest hundredths):
Null hypothesis µ = 55, Alternative hypothesis µ < 55William collected a random sample of 88 people, asking how many times they open ABC web site per day on average, and calculated x¯ = 50.30. ABC suggests that µ = 55, and s = 10. William thinks the actual mean is less than the website owner claims. What is the null and alternative hypothesis?
Find a 90% upper confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that 75% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for this survey was given as ±10 percentage points.
The confidence interval does not support the claim of Lim Electronics.Given the problem in item 9, what does the answer tells about?
NOIdentify whether each example describes a random sample. Answer with Yes or No. Collects the election results in all areas in the Philippines during election No
NOIdentify whether each example describes a random sample. Answer with Yes or No. A teacher conducts examination to all his students. No
4; 0; 1; 6 4Given the data set 10,11,11,12,12,12,13,13,13,13,24,24,14,15,15,16, how many numbers are in the lower quartile?
0.041What is the standard error of the proportion?
Accept the null hypothesisAt the 10% level of significance, test the traffic management office’s claim. Based on the test, what can you conclude?
30Q: In order to apply the Central Limit Theorem, a sample size must be greater than or equal to _____.
3How many regions can be found at the left side of the normal distribution curve?
Z-scoreIt is the measure of how many standard deviations below or above the population mean.
Do not RejectGiven a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted: -0.6
Add all the values and divided by the total number of samplesTo calculate the mean from a sample,
6.70 hours < p < 9.30 hoursA survey of 900 female finds that they sleep on average of 8 hours a day. If the margin of error at 95% confidence level is 1.3 hours. Find the confidence interval?
TRUETrue or False: Random sample happened when data is collected in no certain order TRUE
do not reject1
n=700, p̂ = 0.75, 95% confidenceUsing the following data, find the lower bound of confidence interval. Your answer must be in 3 decimal places.
4; 2; 1; 3 3How many regions can be found at the left side of the normal distribution curve?
3Given the equation y = 3x+ 10, what is the slope?
82.5In an IT Certification Examination, the mean was 75 and the standard deviation was 5. If Pam z-scored is 1.5, what was her score in the examination?
n=400, p̂ = 0.75, 90% confidenceUsing the following data, find the margin of error. Your answer must be in 3 decimal places
FALSEQ: True or False: In Statistics, variance is defined as the number of times an outcome can occur compared to all possible outcomes.
Probability distribution equals to zero.Which of the following is incorrect?
Explanatory variableThe variable that causes an effect
67A survey was conducted to 110 college students to determine who are using the Library Resource Center of the university. Based on the survey, only 30% responded Yes. Based on the survey, how many students are not using the Library Resource Center?
MeanWhich measure of tendency is the best estimator?
FALSETrue or False: Mean of means is the sum of all means multiplied by the number of means
Shape, direction and strengthThree characteristics of a bivariate are
Confidence LevelQ: The number of times out of 100 that the repeated experiment would be expected to capture the population mean within the given interval.
95Empirical rule states that _______ % of data falls within 2 standard deviation.
MeanQ: Which measure of tendency is the best estimator?
Bell CurveNormal Distribution Curve is also called
The number of senators elected in the PhilippinesSalary, scores and age are examples of continuous.. random variables. Which one of these variables is a not continuous random variable?
FALSETrue or False: The probability of an outcome that all heads face up when fairly tossing three coin is 3/8.
1.96You need to calculate for the confidence interval for the population mean. The population standard deviation is known. There are 50 sample observations. You will use 95 percent level of confidence. The appropriate value of z is:
– 1.85Consider the scenario: In a recent survey, 320 persons out of 35 reported that they prefer to ride in a public utility air-conditioned vehicle rather than a jeepney. What is the value of the test statistics?
Strong linear associationWhen examining scatterplot and draw an ellipse around the data, long and narrow ellipses means
rThe symbol used to measure the strength and direction of a linear correlation
1.095What is the test statistic for this scenario?
65.18, 66.82Compute for the confidence intervals of the following datMean = 66 Standard deviation = 5 Sample size = 100 Confidence coefficient = 1.645
Number of desired outcomes over the number of desired elementsThe “p hat” is calculated as
TRUEA continuous random variable assigns a whole number to each possible outcome of an experiment.: None of the choices; True; False; The statement has insufficient information. True
Point EstimateQ: Which of the following is used to calculate population parameter?
FALSETrue or False: The Greek letter alpha represents the mean. False
DISCRETEIdentify if the random variable is a DISCRETE or CONTINUOUS. Number of students in a University
FALSETrue or False: Variance Error is the difference between a sample statistic used to estimate a population parameter and the actual but unknown value of the parameter FALSE
0.78n=700, p̂ = 0.75, 95% confidence
FALSETrue or False: As the sample size increases, the standard error increases.
Mean of Means is equal to 0Which of the following does not describes a T distribution?
FALSEThe confidence level is expressed as a fraction
Null hypothesisA type of test that is denoted by the symbol Ho.
NoWomen who volunteer to take a survey on human rights.
Mean of Means is equal to 0Q: Which of the following does not describes a T distribution?
Less than 10%Q: For example, a 90% confidence interval covers 90% of the normal curve, so the probability of observing a value outside of this area is ____________.
Mean is equal to Median and ModeIn a normal distribution curve,
sampling distribution becomes closer to a normal distribution.Q: As the sample size increases,
TRUETrue or False: The larger the sample size the closer the sampling distribution was to a normal distribution TRUE
3Q: How many regions can be found at the left side of the normal distribution curve?
The statement is ALWAYS CORRECT.The probability distribution of a discrete random variable is a graph, a table or a formula that specifies the probability associated with each possible value that the random variable can assume.: The statement is INCORRECT. The word “formula” should not be included in the statement.; The statement is ALWAYS CORRECT.; The statement is INCORRECT. The word “graph and formula” should not be included in the statement.; The statement is INCORRECT. The word “graph” should not be included in the statement.
NormallySampling distribution of proportions is ______________ distributed
Sample space are possible outcomesWhich of the following is CORRECT about Sample Space
Carl Friedrich GaussWho is the famous mathematician where the normal distribution curve was named after?
YESIdentify whether each example describes a random sample. Answer with Yes or No Select all registered voters in a community whose family income is below 10,000 pesos. Yes
Type I ErrorIf the null hypothesis is true and rejected, the decision is incorrect – Type I Error
Add all the values and divided by the total number of samplesQ: To calculate the mean from a sample,
1.645When the confidence level is 90%, the Confidence coefficients is +-
Countable number of values are called discrete variablesWhich of the following statement is TRUE.
All of the choicesWhich of the following is a characteristics of a bivariate?
0.4What is the observed value of the sample proportion?
Accept null hypothesisWhat can we conclude based the value of the test statistics?
0.267What is the observed value of the sample proportion?
FALSE – correctIn the slope-intercept equation of a line, the slope of the line is represented as the coefficient of the variable y.
2.35Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
The statement is TRUE.In hypothesis testing, the computed statistics is compared to the critical value for decision making.
0.137What is the standard error of the proportion?
TRUETrue or False: Sampling Error is the degree of error expected for a given sample design TRUE
0.077A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that 75% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for this survey was given as ±10 percentage points.
Find a 90% upper confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion.
the product of confidence coefficient and standard deviation divided by the square root of the sample sizeMargin of error is
SampleIt is a part of population intended to represent a population as a whole.
The statement is ALWAYS CORRECT.The probability distribution of a discrete random variable is a graph, a table or a formula that specifies the probability associated with each possible value that the random variable can assume.: The statement is INCORRECT. The word “graph” should not be included in the statement.; The statement is INCORRECT. The word “formula” should not be included in the statement.; The statement is INCORRECT. The word “graph and formula” should not be included in the statement.; The statement is ALWAYS CORRECT.
Point EstimateWhat is in the center of the confidence interval?
µ = 20.8, σ = 4, n = 99, x̄ = 21.2Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
23Find the sample size given 90% confidence, Margin of Error = 0.15 and ^p =0.25.
TRUEPopulation Mean is an example of a parameter.
FALSETrue of False. The series of disconnected points is referred to as Bivariate.
220The management of a local grocery store wants to estimate the average amount their customers spend at the store to within 0.50 pesos, with a 90% confidence. What is the minimum sample size required, if the standard deviation is assumed to be 4.50 pesos.
1140If there are three students that are randomly selected from population of 20 for each sample, how many possible samples will there be?
RejectGiven a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted: -4
FALSETrue or False: Variance is the degree to which values of a random variable differ from the expected value. False
Response variableThe variable that reflects the effect
1The standard deviation of the normal distribution is: always equal to one; should always be a positive number; greater than or equal to zero; always equal to zero always equal to one What is the probability of getting the same numbers on 3 dice when they are thrown simultaneously? 1
– 0.6Given a=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
Added and subtractedMargin of Error is the value that ______ from the mean to identify the confidence interval.
YESIdentify whether each example describes a random sample. Answer with Yes or No Selects all areas in the Philippines who are affected by typhoon and with 5th and 6th income class. Yes
FALSETrue or False: Empirical Rule states that 68% of the data falls within the 1 standard deviation.
Rejection region and Critical regionThis refers to the area where the value of the test statistic lies for which we will reject the null hypothesis.
0.6What is the observed value of the sample proportion?
1Q: The sum of all the probabilities P(X = x) for all possible values of a discrete random variable X must equal to
µ = 77, s = 6, n = 109, x¯ = 78.2Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
CONTINUOUSIdentify if the random variable is a DISCRETE or CONTINUOUS. Speed of a tropical storm in the Philippines CONTINUOUS
-1.99Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places.
µ = 8, s = 4, n = 99, x¯ = 7.2
-1.99Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 8, σ = 4, n = 99, x̄ = 7.2
FALSETrue or False: In order to apply the Central Limit Theorem, a sample size must be greater than or equal to 20.
unknown population meanConfidence level indicates the level of assurance that confidence interval encloses the:
FALSETrue or False: Mean is the sum of all possible values of random variables. False
population meanIn Central Limit Theorem, the mean of the sampling distribution of the mean is equal to the
Answer:Dividing the standard deviation of the population by the square root of the sample sizeIn Central Limit Theorem, the standard deviation of the distribution of means is estimated by
Less thanThe number of degrees of freedom is ________ the sample size.
DISCRETEIdentify if the random variable is a DISCRETE or CONTINUOUS. Total number of volunteers in a community DISCRETE
4Given the equation 5y = 20x+ 30, what is the slope?
Z score plus less the square root of 8 hours less 1.2 hoursA survey of 200 people finds that they work on average of 8 hours a day. If the margin of error at 98% confidence level is 1.2 hours. How do you compute for the lower confidence interval?
House floor area is the explanatory variable and house rent is the response variableHouse rent and house floor area
0.4A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching.
What is the observed value of the sample proportion?
0.034The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles.
18All values are less than the mean.
Given the set of data:
1,1, 2, 2, 3, 3, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
Find the upper quartile
The statement is FALSE. Replace the word small with large.A sample is small when n=30.
0.047Given the sample size (n=300) and sample proportion (p=0.56), find the approximate margin of error for the 90% confidence interval:
1.6Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted:
4Q: Given the data set 10,11,11,12,12,12,13,13,13,13,24,24,14,15,15,16, how many numbers are in the lower quartile?
0.6In a survey of 500 individuals, 300 likes to eat dinner in a restaurant. Estimate the sample proportion ^p of those who like to eat dinner in a restaurant based on the sample.
Explanatory variableIt is also called independent variable
1.191What is the test statistic for this scenario?
0.0741What is the test statistic for this scenario?
YESIdentify whether each example describes a random sample. Answer with Yes or No. Each audience in a game show is assigned a number from 111 to 666 and roll three standard dice to choose random contestants. Yes
FALSE. Change the statement to “Point estimate is a range of possible values of population mean”Point estimate is always equal to the sampling coefficient.
YesEach audience in a game show is assigned a number from 111 to 666 and roll three standard dice to choose random contestants.
YesQ: Identify whether each example describes a random sample. Answer with Yes or No The manager chooses 30 employees randomly from a department.
sampling errorThe degree of error expected for a given sample design
0.026What is the standard error of the proportion?
FALSEQ: True or False: Random distribution is the process of assigning a number to each member of the population
68Q: Empirical Rule states that _____ % of data falls within the first standard deviation from the mean.
0.07 – correctGiven the sample size (n=150) and sample proportion (p=0.35), find the approximate margin of error for the 95% confidence interval:
Continuous Random VariableThe speed of cars travelling in the road and the water consumption of household are examples of