# Stats assignment – multiple choice questions

1-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
The appropriate statistical procedure for this example would be a
A- z-test
B-t-test
2-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
Is this a one-tailed or a two-tailed test?
A-one-tailed
B-two-tailed
3-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
The most appropriate null hypothesis (in words) would be
A-There is a statistical difference in the amount of empathy expressed when comparing individuals who were bullied to the general population.
B-There is no statistical difference in the amount of empathy expressed when comparing individuals who were bullied to the general population.
C-Being bullied does significantly increase empathy when compared to the population of individuals in the general population who have not been bullied.
D-Being bullied does not significantly increase empathy when compared to the population of individuals in the general population who have not been bullied.
4-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
The most appropriate null hypothesis (in symbols) would be
A-μbullied = 39.5
B-μbullied = 30.6
C-μbullied > 39.5
D-μbullied > 30.6
5-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 116 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6. (Use these numbers only for this question!)
What are the degrees of freedom?
_____________________________
6-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 51.46. Random sampling of 67 scores obtained from individuals who were bullied yielded a mean of 32.05 and a standard deviation of 12.2. (Use these numbers only for this question!)
What is the z-value or t-value you obtained (your test statistic)?
———————————————————————————–
7-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
Test at the .05 level of significance.
The value of your calculated (obtained) test statistic is 6.74. What is your decision?
A-reject the null hypothesis
B-fail to reject the null hypothesis
C-reject the alternative hypothesis
8-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
Test at the .05 level of significance.
The best conclusion for this example (based on your answer to Q8) would be
A-Being bullied does not significantly increase the amount of empathy expressed by individuals who were bullied when compared to the general population.
B-Being bullied does not significantly decrease the amount of empathy expressed by individuals who were bullied when compared to the general population.
C-There is no statistical difference in the amount of empathy expressed by individuals who were bullied when compared to the general population.
D-There is a statistical difference in the amount of empathy expressed by individuals who were bullied when compared to the general population.
9-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 39.5 and a standard deviation of 6.6.
Test at the .05 level of significance.
Based on your evaluation of the null in Q8 and your conclusion is Q9, as a researcher you would be more concerned with a
A-Type I statistical error
B-Type II statistical error
10-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 74.27. Random sampling of 76 scores obtained from individuals who were bullied yielded a mean of 71.9 and a standard deviation of 22.87. (Use these numbers only for this question!)
Calculate the 99% confidence interval.
The mean you will use for this calculation is:
_____________________________________
11-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 56.01. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 62.23 and a standard deviation of 13.57. (Use these numbers only for this question!)

Calculate the 99% confidence interval.
As you know, two values will be required to complete the following equation:

_________ ≤ µ ≤ __________

For this question, what is the value that is below or less than µ?
_______________________
12-A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 56.24. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of 55.11 and a standard deviation of 21.29. (Use these numbers only for this question!)
Calculate the 99% confidence interval.
Steps:
As you know, two values will be required to complete the following equation:

_________ ≤ µ ≤ __________

For this question, what is the value that is above or greater than µ?

13-If α = 0.04, and β = 0.14, complete the following questions by inserting the appropriate probability of each. (Response must be in decimal form) (Use these values for this question only)
The statistical decision is to reject the null, and H0 is really true (i.e., a Type I error)
__________________________________________
14-If α = 0.13, and β = 0.2, complete the following questions by inserting the appropriate probability of each. (Response must be in decimal form) (Use these values for this question only)
The statistical decision is to fail to reject null, and H0 is really true (i.e., a correct decision)
______________________________
15-If α = 0.02, and β = 0.06, complete the following questions by inserting the appropriate probability of each. (Response must be in decimal form) (Use these values for this question only)
The statistical decision is to reject the null, and H0 is really false (i.e., Power)
_________________________________
16-If α = 0.1, and β = 0.05, complete the following questions by inserting the appropriate probability of each. (Response must be in decimal form) (Use these values for this question only)
The statistical decision is to fail to reject the null, and H0 is really false (i.e., a Type II error)
_____________________________________
17-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure?
The appropriate statistical procedure for this example would be a:
A-t-test
B-z-test
C-chi-square goodness of fit
D-chi-square test for independence
18-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure?
Is this a one-tailed or a two-tailed test?
A-one-tailed
B-two-tailed
19-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure?
The most appropriate alternative hypothesis (in words) would be:
A- There is no significant difference in systolic blood pressure when comparing people who take Atenolol to the general population of people who do not take Atenolol.
B-There is a significant difference in systolic blood pressure when comparing people who take Atenolol to the general population of people who do not take Atenolol.
C-People taking Atenolol will not experience a significantly lower systolic blood pressure when compared to the general population of people who do not take Atenolol.
D-People taking Atenolol will experience a significantly lower systolic blood pressure when compared to the general population of people who do not take Atenolol.
20-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure?
The most appropriate alternative hypothesis (in symbols) would be:
A-µAtenolol = 165
B-µAtenolol = 147
C-µAtenolol < 165
D-µAtenolol < 147
21-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.

Set up the criteria for making a decision. That is, find the critical value using an alpha = .01. (Make sure you are sign specific: + ; – ; or +/-) (Use your tables)
A- +/- 2.457
B – 2.462
C – 2.750
D +/- 2.756
22-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 33 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 8.14. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)
What is the numeric value of your standard error?
____________________
23-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 155 (µ = 155). The 33 individuals who take Atenolol have an average systolic blood pressure of 145, with a sample standard deviation of 24. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)
What is the z-value or t-value you obtained (your test statistic)? (numeric value only, including negative sign if required)
__________________________
24-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.
The value of your calculated (obtained) test statistic is -16.51. What is your decision?
A- Reject the null hypothesis
B-Fail to reject the null hypothesis
25-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.
The best conclusion for this example (based on your answer to Q26) would be:
A-There is no significant difference in systolic blood pressure when comparing people who take Atenolol to the general population of people who do not take Atenolol.
B-There is a significant difference in systolic blood pressure when comparing people who take Atenolol to the general population of people who do not take Atenolol.
C-People taking Atenolol did not experience a significantly lower systolic blood pressure when compared to the general population of people who do not take Atenolol.
D-People taking Atenolol experienced a significantly lower systolic blood pressure when compared to the general population of people who do not take Atenolol.
26-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.
Based on whether you rejected or failed to reject the null hypothesis (Q26), and your conclusion in Q27, as a researcher, you would be more concerned with a:
A- Type I statistical error
B-Type II statistical error
27-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 175, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these data for this question only!)
Calculate the 95% confidence interval
The mean you will use for this calculation is
________________
28-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure?
Calculate the 95% confidence interval
What is the new critical value you will use for this calculation?

A +/- 1.699
B +/- 2.045
C +/- 2.457
D +/- 2.462
E – 2.045
29-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 161 (µ = 161). The 30 individuals who take Atenolol have an average systolic blood pressure of 117, with a sample standard deviation of 20. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)
Calculate the 95% confidence interval
As you know, two values will be required to complete the following equation:

_________ ≤ µ ≤ __________

For this question, what is the value that is below or less than µ?
__________
30-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 173 (µ = 173). The 30 individuals who take Atenolol have an average systolic blood pressure of 164, with a sample standard deviation of 24. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)
Calculate the 95% confidence interval
As you know, two values will be required to complete the following equation:

_________ ≤ µ ≤ __________

For this question, what is the value that is above or greater than µ?
_________
31-The average time scheduled for a doctor’s visit is 23 minutes with a standard deviation of 6 minutes. A researcher uses a sampling distribution made up of samples of size 362. (Use these numbers for this question only!)
According to the Central Limit Theorem, what is the mean of the sampling distribution of means?
______
32-Which of the following is most likely to increase the calculated value of a t-test?
A Increase the number of subjects
B Decrease the number of subjects
C Repeat with a convenience sample
D Repeat with the same sample
33-As you increase the true distance between the null and alternative hypotheses, the likelihood of rejecting the null hypothesis
A Increases
B Decreases
C Remains the same
34-Keeping everything else the same, if you were to change your alpha level from .01 to .05, the likelihood of rejecting the null hypothesis
A Increases
B Decreases
C Remains the same

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