Test the claim that the mean GPA of night students is larger than 2.6 at the .025 significance level. The null and alternative hypothesis would be: H0:μ=2.6H0:μ=2.6 H1:μ>2.6H1:μ>2.6 H0:p=0.65H0:p=0.65 H1:p<0.65H1:p<0.65 H0:p=0.65H0:p=0.65 H1:p≠0.65H1:p≠0.65 H0:μ=2.6H0:μ=2.6 H1:μ≠2.6H1:μ≠2.6 H0:μ=2.6H0:μ=2.6 H1:μ<2.6H1:μ<2.6 H0:p=0.65H0:p=0.65 H1:p>0.65H1:p>0.65 The test is: two-tailed left-tailed right-tailed Based on a sample of 30 people, the sample mean GPA was 2.64 with a standard deviation of 0.03 The test statistic is:  (to 2 decimals) The critical value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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Test the claim that the mean GPA of night students is larger than 2.6 at the .025 significance level.

The null and alternative hypothesis would be:

H0:μ=2.6H0:μ=2.6
H1:μ>2.6H1:μ>2.6
H0:p=0.65H0:p=0.65
H1:p<0.65H1:p<0.65
H0:p=0.65H0:p=0.65
H1:p≠0.65H1:p≠0.65
H0:μ=2.6H0:μ=2.6
H1:μ≠2.6H1:μ≠2.6
H0:μ=2.6H0:μ=2.6
H1:μ<2.6H1:μ<2.6
H0:p=0.65H0:p=0.65
H1:p>0.65H1:p>0.65



The test is:

two-tailed
left-tailed
right-tailed



Based on a sample of 30 people, the sample mean GPA was 2.64 with a standard deviation of 0.03

The test statistic is:  (to 2 decimals)

The critical value is:  (to 2 decimals)

Based on this we:

  • Reject the null hypothesis
  • Fail to reject the null hypothesis
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