The dean of a university estimates that the mean number of classroom hours per week forfull-time faculty is 11.0. As a member of the studentcouncil, you want to test this claim. A random sample of the number of classroom hours for eightfull-time faculty for one week is shown in the table below. At =0.01, can you reject thedean's claim? Complete parts(a) through(d) below. Assume the population is normally distributed.

11.5

8.1

12.8

6.3

5.8

11.6

14.6

9.1

(a) Write the claim mathematically and identify H0 and Ha.

Which of the following correctly states H0 and Ha?

A.H0: =11.0

Ha: 11.0

B.H0: 11.0

Ha: =11.0

C.H0: >11.0

Ha: 11.0

D.H0: 11.0

Ha: <11.0

E.H0: <11.0

Ha: 11.0

F.H0: 11.0

Ha: >11.0

(b) Use technology to find theP-value.

P=___________

(Round to three decimal places asneeded.)

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

Which of the following iscorrect?

A.Failtoreject H0 because theP-value is greaterthan the significance level.

B.Failtoreject H0 because theP-value is lessthan the significance level.

C.Reject H0 because theP-value is greaterthan the significance level.

D.Reject H0 because theP-value is lessthan the significance level.

(d) Interpret the decision in the context of the original claim.

A.At the 1% level ofsignificance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week forfull-time faculty is greaterthan 11.0.

B.At the 1% level ofsignificance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week forfull-time faculty is 11.0.

C.At the 1% level ofsignificance, there isnot sufficient evidence to reject the claim that the mean number of classroom hours per week forfull-time faculty is lessthan 11.0.

D.At the 1% level ofsignificance, there isnot sufficient evidence to reject the claim that the mean number of classroom hours per week forfull-time faculty is 11.0.