Test the claim that the mean GPA of night students is smaller than 2.5 at the .05 significance level. The null and alternative hypothesis would be: H0:μ=2.5H0:μ=2.5 H1:μ≠2.5H1:μ≠2.5 H0:p=0.625H0:p=0.625 H1:p≠0.625H1:p≠0.625 H0:p=0.625H0:p=0.625 H1:p>0.625H1:p>0.625 H0:p=0.625H0:p=0.625 H1:p<0.625H1:p<0.625 H0:μ=2.5H0:μ=2.5 H1:μ>2.5H1:μ>2.5 H0:μ=2.5H0:μ=2.5 H1:μ<2.5H1:μ<2.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 35 people, the sample mean GPA was 2.46 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: Fail to reject the null hypothesis Reject the null hypothesis

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Test the claim that the mean GPA of night students is smaller than 2.5 at the .05 significance level.

The null and alternative hypothesis would be:

H0:μ=2.5H0:μ=2.5
H1:μ≠2.5H1:μ≠2.5
H0:p=0.625H0:p=0.625
H1:p≠0.625H1:p≠0.625
H0:p=0.625H0:p=0.625
H1:p>0.625H1:p>0.625
H0:p=0.625H0:p=0.625
H1:p<0.625H1:p<0.625
H0:μ=2.5H0:μ=2.5
H1:μ>2.5H1:μ>2.5
H0:μ=2.5H0:μ=2.5
H1:μ<2.5H1:μ<2.5



The test is:

right-tailed
two-tailed
left-tailed



Based on a sample of 35 people, the sample mean GPA was 2.46 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:

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