A random sample of 16 students is taken from a larger normal population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 62.25. Suppose it is known that the sample standard deviation is 3.2. You wish to create a 98% confidence interval for the true population mean. Which of the following statements is most correct? a. The tα/2,n-1 (found from R) used to calculate the 98% confidence interval is 2.946713. b. The tα/2,n-1 (found from R) that is needed to calculate the 98% confidence interval is 2.60248. c. The tα/2,n-1 (found from R) used to calculate the 98% confidence interval is 2.24854. d. The tα/2,n-1 (found from R) used to calculate the 98% confidence interval is 0.01.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
icon
Related questions
Question

A random sample of 16 students is taken from a larger normal population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 62.25. Suppose it is known that the sample standard deviation is 3.2. You wish to create a 98% confidence interval for the true population mean. Which of the following statements is most correct?

a.

The tα/2,n-1 (found from R) used to calculate the 98% confidence interval is 2.946713.

b.

The tα/2,n-1 (found from R) that is needed to calculate the 98% confidence interval is 2.60248.

c.

The tα/2,n-1 (found from R) used to calculate the 98% confidence interval is 2.24854.

d.

The tα/2,n-1 (found from R) used to calculate the 98% confidence interval is 0.01.

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill