The dean of a major university claims that the mean number of hours students study at her University (perday) is at most 3.6 hours. If a hypothesis test is performed, how should you interpret a decision that rejects thenull hypothesis?
A) There is sufficient evidence to reject the claim $\mu \leq 3.6$.
B) There is not sufficient evidence to reject the claim $\mu \leq 3.6$.
C) There is sufficient evidence to support the claim $\mu \leq 3.6$.
D) There is not sufficient evidence to support the claim $\mu \leq 3.6$.

Question

The dean of a major university claims that the mean number of hours students study at her University (perday) is at most 3.6 hours. If a hypothesis test is performed, how should you interpret a decision that rejects thenull hypothesis? 
A) There is sufficient evidence to reject the claim $\mu \leq 3.6$.
B) There is not sufficient evidence to reject the claim $\mu \leq 3.6$.
C) There is sufficient evidence to support the claim $\mu \leq 3.6$.
D) There is not sufficient evidence to support the claim $\mu \leq 3.6$.

Quizplus · Accepted Answer

Rejecting the null hypothesis means the data provides sufficient evidence to conclude that the mean number of hours students study per day is more than 3.6 hours, contradicting the dean's claim.

The Dean of a Major University Claims That the Mean μ≤3.6\mu \leq 3.6μ≤3.6

The Dean of a Major University Claims That the Mean $\mu \leq 3.6$