The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table. At α = 0.01, can you reject the dean’s claim?

(a) Identify the claim and state H₀ and H_a,

(b) Use technology to find the P-value,

(c) Decide whether to reject or fail to reject the null hypothesis,

(d) Interpret the decision in the context of the original claim. Assume the population is normally distributed.

Transcribed Image Text:

Classroom hours 11.8 8.6 12.6 7.9 6.4 10.4 13.6 9.1