Question

11 multiple choice 1 point in the 1990s, the mean time it took a college student to graduate was 4 years. however, due to an increase in course requirements, a professor feels that it now takes longer for students to graduate. suppose the sample evidence indicates that the null hypothesis should not be rejected. state the wording of the conclusion. there is sufficient evidence to conclude that the mean time it takes a college student to graduate is equal to 4 years. there is sufficient evidence to conclude that the mean time it takes a college student to graduate is greater than 4 years. there is insufficient evidence to conclude that the mean time it takes a college student to graduate is equal to 4 years. there is insufficient evidence to conclude that the mean time it takes a college student to graduate is greater than 4 years.

Explanation:

Step1: Define hypotheses

Null hypothesis $H_0: \mu = 4$ (mean time = 4 years); Alternative hypothesis $H_a: \mu > 4$ (mean time > 4 years, professor's claim).

Step2: Interpret non-rejection of $H_0$

Not rejecting $H_0$ means insufficient evidence to support $H_a$.

Answer:

D. There is insufficient evidence to conclude that the mean time it takes a college student to graduate is greater than 4 years.