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Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be:   H0:μ=3.1H0:μ=3.1 H1:μ≠3.1H1:μ≠3.1 H0:μ≥3.1H0:μ≥3.1 H1:μ<3.1H1:μ<3.1 H0:p≥0.775H0:p≥0.775 H1:p<0.775H1:p<0.775 H0:p≤0.775H0:p≤0.775 H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775 H1:p≠0.775H1:p≠0.775 H0:μ≤3.1H0:μ≤3.1 H1:μ>3.1H1:μ>3.1 The test is:   left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06 The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be:   H0:μ=3.1H0:μ=3.1 H1:μ≠3.1H1:μ≠3.1 H0:μ≥3.1H0:μ≥3.1 H1:μ<3.1H1:μ<3.1 H0:p≥0.775H0:p≥0.775 H1:p<0.775H1:p<0.775 H0:p≤0.775H0:p≤0.775 H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775 H1:p≠0.775H1:p≠0.775 H0:μ≤3.1H0:μ≤3.1 H1:μ>3.1H1:μ>3.1 The test is:   left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06 The p-value is:  (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Calculus For The Life Sciences
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 smaller than 3.1 at the 0.01 significance level.

The null and alternative hypothesis would be:

 

H0:μ=3.1H0:μ=3.1
H1:μ≠3.1H1:μ≠3.1
H0:μ≥3.1H0:μ≥3.1
H1:μ<3.1H1:μ<3.1
H0:p≥0.775H0:p≥0.775
H1:p<0.775H1:p<0.775
H0:p≤0.775H0:p≤0.775
H1:p>0.775H1:p>0.775
H0:p=0.775H0:p=0.775
H1:p≠0.775H1:p≠0.775
H0:μ≤3.1H0:μ≤3.1
H1:μ>3.1H1:μ>3.1



The test is:

 

left-tailed
right-tailed
two-tailed



Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06

The p-value is:  (to 2 decimals)

Based on this we:

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