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A group of students enroll in a behavioral statistics course taught by one of tw

ID: 3221085 • Letter: A

Question

A group of students enroll in a behavioral statistics course taught by one of two professors. The mean grade in Professor G's class is 81% (95% CI = 74%–88%), and the mean grade in Professor P's class is 78% (95% CI = 71%–85%).

1. Is one confidence interval more precise? Explain.

a. Yes, the interval for Professor G's class is more precise. The mean for Professor G's class is higher.

b. Yes, the interval for Professor P's class is more precise. The mean for Professor P's class is farther from 95%.    

c. No, the intervals have the same amount of precision. Both intervals use 95% confidence.

d. No, the intervals have the same amount of precision. The interval width for each confidence interval is ±7 points.


2. Is one confidence interval associated with greater certainty? Explain.

a. Yes, the interval for Professor G's class is associated with greater certainty. The mean for Professor G's class is higher.

b. Yes, the interval for Professor P's class is associated with greater certainty. The mean for Professor P's class is farther from 95%.    

c. No, the intervals are associated with the same amount of certainty. Both intervals use 95% confidence.

d. No, the intervals are associated with the same amount of certainty. The interval width for each confidence interval is ±7 points.

Explanation / Answer

1. Correct Answer: option (D)  No, the intervals have the same amount of precision. The interval width for each confidence interval is ±7 points.

2.  Correct Answer: option (D) No, the intervals are associated with the same amount of certainty. The interval width for each confidence interval is ±7 points.

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