Final answer:
The null and alternative hypotheses for the hypothesis test are μ = 2.9 and μ ≠2.9 respectively. The student needs to perform a hypothesis test for the mean to test the claim. They will compare the test statistic to the critical value at the 0.01 significance level to determine whether to reject or fail to reject the null hypothesis.
Step-by-step explanation:
The null and alternative hypotheses for the hypothesis test would be:
H0: μ = 2.9
H1: μ ≠ 2.9
To test the claim, you would use a hypothesis test for the mean. You would calculate the test statistic and compare it to the critical value at the 0.01 significance level. If the test statistic falls in the rejection region, you would reject the null hypothesis and conclude that the mean GPA of night students is significantly different than 2.9. If the test statistic does not fall in the rejection region, you would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mean GPA of night students is significantly different than 2.9.