Refer to Exercise 12. Can you reject H0 at the = 0.05 level? State a conclusion.

Refer to Exercise 12.

Can you reject H0 at the α = 0.05 level? State a conclusion.

Exercise 12

A simple random sample of 17 business majors from a certain university had a mean GPA of 2.81 with a standard deviation of 0.27. A simple random sample of 23 psychology majors was selected from the same university, and their mean GPA was 2.97 with a standard deviation of 0.23. Boxplots show that it is reasonable to assume that the populations are approximately normal. The question of interest is whether the mean GPAs differ between business majors and psychology majors. Let μ1 be the population mean GPA for business majors, and let μ2 be the population mean GPA for psychology majors. State the null and alternate hypotheses.