A high school teacher Hartsville High wants to determine whether athletics are affecting students' grades, so she will compare the athletes' GPA to that of the overall student population. The average GPA for Hartsville High students overall is 3.18. Using the 25 atheletes in her class as a sample of all athletes, she finds that the average GPA for those students is 3.19 with a sample standard deviation of 0.32. Follow the outline to test the hypothesis ?0:?=3.18 ??:?≠3.18 at a significance level of ?=0.05. a. Find the stadardized test statistic ?=?⎯⎯⎯−??/?√. Round your answer to 2 decimal places. b. Calculate the p-value, and round your answer to 4 decimal places. c. Interpret your result. Select your answer from one of the following options. a. Reject the null hypothesis. There is not enough evidence to conclude that athletes have a different average GPA. b. Reject the null hypothesis. There is enough evidence to conclude that the athletes' average GPA is the same as the overall student population. c. Fail to reject the null hypothesis. There is enough evidence to conclude that the athletes' average GPA is the same as the overall student population. d. Fail to reject the null hypothesis. There is not enough evidence to conclude that athletes have a different average GPA

Name: A high school teacher Hartsville High wants to determine whether athle
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Description: A high school teacher Hartsville High wants to determine whether athletics are affecting students' grades, so she will compare the athletes' GPA to that of the overall student population. The average GPA for Hartsville High students overall is 3.18.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A high school teacher Hartsville High wants to determine whether athletics are affecting students' grades, so she will compare the athletes' GPA to that of the overall student population. The average GPA for Hartsville High students overall is 3.18. Using the 25 atheletes in her class as a sample of all athletes, she finds that the average GPA for those students is 3.19 with a sample standard deviation of 0.32.

Follow the outline to test the hypothesis

?0:?=3.18

??:?≠3.18

at a significance level of ?=0.05.

a. Find the stadardized test statistic ?=?⎯⎯⎯−??/?√. Round your answer to 2 decimal places.

b. Calculate the p-value, and round your answer to 4 decimal places.

c. Interpret your result.

Select your answer from one of the following options.

a.

Reject the null hypothesis. There is not enough evidence to conclude that athletes have a different average GPA.
b.

Reject the null hypothesis. There is enough evidence to conclude that the athletes' average GPA is the same as the overall student population.
c.

Fail to reject the null hypothesis. There is enough evidence to conclude that the athletes' average GPA is the same as the overall student population.
d.

Fail to reject the null hypothesis. There is not enough evidence to conclude that athletes have a different average GPA.

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