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 below. At o = 0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 11.6 7.6 13.1 8.6 4.6 10.5 14.4 9.10 Ha: H # 11.0 Ha: H 2 11.0 Ha: H = 11.0 (b) Use technology to find the P-value. P=(Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is greater than the significance level. O B. Reject Ho because the P-value is greater than the significance level. O C. Fail to reject Ho because the P-value is less than the significance level. O D. Reject Ho because the P-value is less than the significance level. (d) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom O B. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours hours per week for full-time faculty is 11.0. per week for full-time faculty is greater than 11.0. O C. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean number of classroom O D. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours hours per week for full-time faculty is less than 11.0. per week for full-time faculty is 11.0