Test the claim that the mean GPA of night students is significantly different than 2.3 at the 0.05 significance level. The null and alternative hypothesis would be: H0:μ=2.3H0:μ=2.3 H1:μ>2.3H1:μ>2.3 H0:p=0.575H0:p=0.575 H1:p>0.575H1:p>0.575 H0:μ=2.3H0:μ=2.3 H1:μ<2.3H1:μ<2.3 H0:p=0.575H0:p=0.575 H1:p≠0.575H1:p≠0.575 H0:μ=2.3H0:μ=2.3 H1:μ≠2.3H1:μ≠2.3 H0:p=0.575H0:p=0.575 H1:p<0.575H1:p<0.575 The test is: two-tailed left-tailed right-tailed Based on a sample of 80 people, the sample mean GPA was 2.27 with a standard deviation of 0.02 The test statistic is:  (to 2 decimals) The positive critical value is:  (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Test the claim that the mean GPA of night students is significantly different than 2.3 at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:μ=2.3H0:μ=2.3
H1:μ>2.3H1:μ>2.3
H0:p=0.575H0:p=0.575
H1:p>0.575H1:p>0.575
H0:μ=2.3H0:μ=2.3
H1:μ<2.3H1:μ<2.3
H0:p=0.575H0:p=0.575
H1:p≠0.575H1:p≠0.575
H0:μ=2.3H0:μ=2.3
H1:μ≠2.3H1:μ≠2.3
H0:p=0.575H0:p=0.575
H1:p<0.575H1:p<0.575



The test is:

two-tailed
left-tailed
right-tailed



Based on a sample of 80 people, the sample mean GPA was 2.27 with a standard deviation of 0.02

The test statistic is:  (to 2 decimals)

The positive critical value is:  (to 2 decimals)

Based on this we:

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