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Test the claim that the mean GPA of night students is smaller than 2.9 at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:p=0.725

H1:p≠0.725

H0:μ≥2.9

H1:μ<2.9

H0:p≤0.725

H1:p>0.725

H0:p≥0.725

H1:p<0.725

H0:μ=2.9

H1:μ≠2.9

H0:μ≤2.9

H1:μ>2.9

The test is:

left-tailed right-tailed two-tailed

Based on a sample of 80 people, the sample mean GPA was 2.85 with a standard deviation of 0.07

The test statistic is: ___________________  (to 2 decimals)

The p-value is:______________________  (to 2 decimals)

Based on this we:

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

Statistics and Probability, Statistics

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