15. The dean of a university estimates that the mean number of classroom hours per week for​ full-time faculty is 10.0. 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 below. At α=0.05​, can you reject the​ dean's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed. 11.2 7.5 12.2 7.2 4.1 9.5 13.7 8.5 Question content area bottom Part 1 ​(a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha​? A. H0​: μ>10.0 Ha​: μ≤10.0 B. H0​: μ≠10.0 Ha​: μ=10.0 C. H0​: μ<10.0 Ha​: μ≥10.0 D. H0​: μ≤10.0 Ha​: μ>10.0 E. H0​: μ≥10.0 Ha​: μ<10.0

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