Question: QUESTION 1 The central limit theorem describes three important properties of all distributions of sample means of any given sample size. What are the three

QUESTION 1

The central limit theorem describes three important properties of all distributions of sample means of any given sample size. What are the three properties it describes? Select all that apply.

A.variability

B.central tendency

C.shape

D.population size

QUESTION 2

According to the central limit theorem what is the standard deviation of all distributions of sample means going to equal?

QUESTION 3

Whichtwoof the following are the best descriptions of the standard error of the mean? (Choose 2)

A.The typical amount of sampling error expected in the study.

B.The typical distance between the standard deviation andN.

C.The typical distance sample means are from the population mean.

D.The typical distance a score is from the sample mean in a distribution of sample means.

E.The typical amount of error between population scores and sample scores.

F.The typical distance each sample score is away from each other.

QUESTION 4

Themean scoreof the N = 27 students in a history class on the standardized History test wasM= 56.00. The national mean for the History test was, = 52.00 and standard deviation = 9.00. Compute thezscore for the class average History test score.

A.1.65

B.0.15

C.0.77

D.0.44

E.2.31

QUESTION 5

If random samples, each with N = 9 scores, are selected from a normal population with= 68.50 and= 18.95, what is the expected average value for the distribution of sample means?

A.87.45

B.7.61

C.3.61

D.68.50

QUESTION 6

An honors calculus class with N = 25 students took an exam and their mean exam performance corresponded to azscore of 1.80. What is the probability of this sample mean, or a higher sample mean, occuring due to sampling error?

A.0.9641

B.0.0500

C.0.0359

D.0.3085

QUESTION 7

Two teachers have a friendly rivalry. They want to know which of their students did better on their respective final exams. The first teacher teaches chemistry and her 49 students had aM= 68.00. The national mean () and standard deviation () for this exam is 65.00 and 10.00, respectively. The second teacher teaches history and his 64 students had aM= 72.00. The national mean () and standard deviation () for this exam is 70.00 and 7.00, respectively. Which teachers' students did better on their respective final exams?

A.The history class did better.

B.There is not enough information to determine which class did better.

C.The chemistry class did better

D.The two classes did equally well.

QUESTION 8

For a normal distribution with a mean of= 83.00 and= 9.54, find each of the following probabilities.Report yourz-scores to 2 decimal placesand yourproportions as they appear in the unit normal table - 4 decimal places.

a.

z=

proportion =

b.

z=

proportion =

c.

z=

proportion =

d.

z=

proportion =

QUESTION 9

You are interested in studying self-esteem among college students and plan to obtain a sample ofN= 36 students from the population. The self-esteem questionnaire you plan to use has a mean of = 90.00 and a standard deviation of = 12.00. Which of the following best describes the distribution of sample means?

A.The collection of all possible random samples ofN= 36 students will have a mean of 90.00 and a standard deviation of 12.00.

B.The collection of all possible random samples ofN= 36 students will have a mean of 90.00 and a standard deviation of 2.00.

C.The collection of all possible random samples from the population will have a mean of 90.00 and a standard deviation of 2.00.

D.The collection of all possible random samples from the population will have a mean of 90.00 and a standard deviation of 12.00.

QUESTION 10

Suppose a researcher told you that a smaller standard error is needed. What would you recommend they do to make it smaller?

A.Increase the sample size.

B.Increase the size of the treatment effect.

C.Increase the variability in the population.

D.Increase the population size.

QUESTION 11

In addition to hypothesis testing, researchers compute effect sizes when comparing sample means. Why do researchers compute effect sizes?

A.To identify a range of plausible values for a population parameter.

B.To quantify the size of the difference between the means.

C.To determine if the distribution of sample means is normally distributed.

D.To prove the null hypothesis is true.

E.To determine if the observed difference between the means is likley or unlikely to be due to sampling error.

QUESTION 12

An Organizational Psychologist wants to know if attending a training session increases the productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05. The fact that the sample size in the study wasN= 100 helped researchers meet which of the following statistical assumptions?

A.appropriate measurement of the IV and the DV

B.normal distribution of sample means

C.homogeneity of variance

D.independence of data

QUESTION 13

An Organizational Psychologist wants to know if attending a training session increases the productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

What statistical analysis will you use for this study?

A.At-test because the population standard deviation is not known.

B.Az-test because the population standard deviation is known.

C.At-test because the population standard deviation is known.

D.Az-test because the population standard deviation is not known.

QUESTION 14

An Organizational Psychologist wants to know if attending a training sessionincreasesthe productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

What is the symbolic null hypothesis (H0) for this study?

QUESTION 15

An Organizational Psychologist wants to know if attending a training sessionincreasesthe productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

What is the verbal null hypothesis (H0) for this study?

a.The population of people who attended the training session will have productivity levels higher than 66.00.

b.The population of people who attended the training session will have productivity levels lower than 66.00.

c.The population of people who attended the training session will not have productivity levels different than 66.00.

d.The population of people who attended the training session will not have productivity levels higher than 66.00.

QUESTION 16

An Organizational Psychologist wants to know if attending a training sessionincreasesthe productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

What is the symbolic research hypothesis (H1) for this study?

QUESTION 17

An Organizational Psychologist wants to know if attending a training sessionincreasesthe productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

What is the verbal research hypothesis (H1) for this study?

a.The population of people who attended the training session will not have productivity levels different than 66.00.

b.The population of people who attended the training session will have productivity levels lower than 66.00.

c.The population of people who attended the training session will not have productivity levels higher than 66.00.

d.The population of people who attended the training session will have productivity levels higher than 66.00.

QUESTION 18

An Organizational Psychologist wants to know if attending a training session increases the productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

Whatzscore should you expect if the null hypothesis is true?

A.1.96

B.68.00

C.66.00

D.1.65

E.0.00

F.1.00

QUESTION 19

An Organizational Psychologist wants to know if attending a training session increases the productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

What is thez-score that defines the critical region for this study?

A.1.00

B.68.00

C.1.65

D.0.00

E.66.00

F.1.96

QUESTION 20

An Organizational Psychologist wants to know if attending a training sessionincreasesthe productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

Compute the standard error of the mean for this study.

A.1.65

B.0.02

C.1.20

D.0.17

E.1.67

QUESTION 21

An Organizational Psychologist wants to know if attending a training sessionincreasesthe productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

Compute thez-score for this analysis.

A.1.67

B.0.17

C.1.65

D.0.02

E.1.20

QUESTION 22

An Organizational Psychologist wants to know if attending a training session increases the productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

What decision will you make regarding the null hypothesis (H0)?

a.Fail to reject H0

b.Reject H0

QUESTION 23

An Organizational Psychologist wants to know if attending a training session increases the productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

Identify what type of hypothesis testing error you might have made and why.

A.Type II Error,may have failed toreject a false H0.

B.Type II Error,may have failed toreject a true H0.

C.Type I Error,may have rejected a false H0.

D.Type I Error,may have rejected a true H0.

QUESTION 24

An Organizational Psychologist wants to know if attending a training sessionincreasesthe productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

Compute the effect size for this study.

A.1.20

B.1.65

C.0.17

D.0.02

E.1.67

QUESTION 25

An Organizational Psychologist wants to know if attending a training sessionincreasesthe productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

Which of the following best describes the effect size for this study?

A.small-medium

B.medium

C.medium-large

D.small

E.large

QUESTION 26

An Organizational Psychologist wants to know if attending a training session increases the productivity of workers. The Organizational Psychologist knows that the mean productivity of workers in the population of workers is = 66.00 with a standard deviation of = 12.00. The Organizational Psychologist took a sample of 100 workers and gave them all the training session. After training, the mean productivity wasM= 68.00. She then compared the mean productivity of the sample workers to the mean for the population using an = .05.

Identify which of the following best describes the results of the study, including an interpretation of effect size.

A.The training session was found to significantly increase productivity (M= 68.00) versus the general population who did not have training ( = 66.00),z= 1.20,p< .05,d= 0.02. The effect size indicates a 0.02 standard deviation increase in productivity with the training session versus no training.

B.The training session was not found to significantly increase productivity (M= 68.00) versus the general population who did not have training ( = 66.00),z= 1.65,p> .05,d= 1.20. The effect size indicates a 1.20 standard deviation increase in productivity with the training session versus no training.

C.The training session was not found to significantly increase productivity (M= 68.00) versus the general population who did not have training ( = 66.00),z= 0.17,p> .05,d= 1.67. The effect size indicates a 1.67 standard deviation increase in productivity with the training session versus no training.

D.The training session was found to significantly increase productivity (M= 68.00) versus the general population who did not have training ( = 66.00),z= 1.67,p< .05,d= 0.17. The effect size indicates a 0.17 standard deviation increase in productivity with the training session versus no training.

QUESTION 27

AsNincreases, what happens to the critical value (assume that alpha is .05)?

A.More information is needed to answer this question.

B.It moves closer to 0.

C.It moves further from 0.

D.It does not change.

QUESTION 28

What impact does having a larger sample have on thesizeof the critical region (i.e., the percentage of the distribution that is in the critical region)? A larger sample size __________.

A.makes the critical region smaller

B.has no impact on the critical region

C.makes the critical region bigger

QUESTION 29

A researcher gives one group of 10 people a placebo for 1 week and another group of 10 people an antianxiety drug for 1 week. At the end of the week, she measures the anxiety levels of the people in the two groups. The researcher decides one-tailed test using an of .01. The anxiety levels for the placebo groupM= 54.20 (SD= 8.43) were not significantly different than the anxiety levels for the drug group wasM= 50.43 (SD= 9.34),t(18) = .93,p> .01, two tailed,d=.42. How could this researcher increase statistical power in her next study?

A.Increase the alpha level to .05.

B.Decrease the alpha level to .001.

QUESTION 30

An experiment was done to determine if a program designed to improve the body image of young girls and boys was effective. In this scenario, which of the following describes aType II error?

A.Concluding the program did improve body image when it really did not.

B.Concluding the program did not improve body image when it really did.

C.Concluding the program did not improve body image when it really did not.

D.Concluding the program did improve body image when it really did.

QUESTION 31

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

What statistical analysis will you use for this study?

A.Az-test because the population standard deviation is known.

B.At-test because the population standard deviation is not known.

C.Az-test because the population standard deviation is not known.

D.At-test because the population standard deviation is known.

QUESTION 32

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Which of the following would be the best symbolic null hypothesis (H0) for this statistical analysis?

QUESTION 33

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Which of the following would be the best verbal null hypothesis (H0) for this statistical analysis?

A.The mean estimated "psychological health" score for professors from Valpo College is not lower than the actual "psychological health" scores of 24.00.

B.The mean estimated "psychological health" score for professors from Valpo College is not higher than the actual "psychological health" scores of 24.00.

C.The mean estimated "psychological health" score for professors from Valpo College is different than the actual "psychological health" scores of 24.00.

D.The mean estimated "psychological health" score for professors from Valpo College is not different than the actual "psychological health" scores of 24.00.

QUESTION 34

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Which of the following would be the best symbolic research hypothesis (H1) for this statistical analysis?

QUESTION 35

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Which of the following would be the best verbal research hypothesis (H1) for this statistical analysis?

A.The mean estimated "psychological health" score for professors from Valpo College is different than the actual "psychological health" scores of 24.00.

B.The mean estimated "psychological health" score for professors from Valpo College is higher than the actual "psychological health" scores of 24.00.

C.The mean estimated "psychological health" score for professors from Valpo College is lower than the actual "psychological health" scores of 24.00.

D.The mean estimated "psychological health" score for professors from Valpo College is not different than the actual "psychological health" scores of 24.00.

QUESTION 36

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

What is the criticaltvalue for this study?

A.2.7238

B.1.6896

C.2.0301

D.2.4377

QUESTION 37

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Compute the standard error of the mean for this study.

A.0.14

B.8.57

C.4.00

D.0.83

QUESTION 38

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Compute thet-value for this analysis.

A.-0.35

B.-3.61

C.-0.75

D.-21.43

QUESTION 39

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

What decision will you make regarding the null hypothesis (H0)?

a.Reject H0

b.Fail to Reject H0

QUESTION 40

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Identify what type of hypothesis testing error you might have made and why.

A.Type II Error,may have failed toreject a true H0.

B.Type I Error,may have rejected a false H0.C.Type I Error,may have rejected a true H0.

D. Type II Error,may have failed toreject a false H0.

QUESTION 41

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Compute the effect size for this study.

A.0.75

B.0.35

C.0.60

D.0.83

QUESTION 42

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Which of the following best describes the effect size for this study?

A.large

B.medium

C.medium-large

D.small

E.small-medium

QUESTION 43

The average "psychological health" score for college professors in America is = 24.00 on a standardized "psychological health" survey. A statistics student from Valpo wants to know if professors from Valpo have "psychological health" scores that are significantlydifferentthan the national average. The student hasN= 36 Valpo professors complete the survey and finds that theirM= 21.00 with a standard deviation ofSD= 5.00.Test this prediction using a two-tailed test using an = .05.

Identify which of the following best describes the results of the study, including an interpretation of effect size.

A.The average "psychological health" score of professors from Valpo College (M= 21.00) are not significantly lower than the national average ( = 24.00),t(35)= -0.35,p< .05,d= 0.83. The effect size indicates a 0.83 standard deviation decrease in "psychological health" versus the national average "psychological health" scores of professors.

B.The average "psychological health" score of professors from Valpo College (M= 21.00) are not significantly different than the national average ( = 24.00),t(35)= -0.75,p> .05,d= 0.35. The effect size indicates a 0.35 standard deviation decrease in "psychological health" versus the national average "psychological health" scores of professors.

C.The average "psychological health" score of professors from Valpo College (M= 21.00) are significantly lower than the national average ( = 24.00),t(35)= -3.61,p< .05,d= 0.60. The effect size indicates a 0.60 standard deviation decrease in "psychological health" versus the national average "psychological health" scores of professors.

D.The average "psychological health" score of professors from Valpo College (M= 21.00) are significantly lower than the national average ( = 24.00),t(35)= -21.43,p< .05,d= 0..75. The effect size indicates a 0.75 standard deviation decrease in "psychological health" versus the national average "psychological health" scores of professors.

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