content area top Part 1 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 alphaequals0.10, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.1 8.2 11.9 6.7 5.5 10.2 14.7 8.6 Use technology to find the P-value. Pequals 0.283 (Round to three decimal places as needed.) Part 3 (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? A. Fail to reject Upper H 0 because the P-value is greater than the significance level. Your answer is correct.B. Reject Upper H 0 because the P-value is less than the significance level. C. Fail to reject Upper H 0 because the P-value is less than the significance level. D. Reject Upper H 0 because the P-value is greater than the significance level. Part 4 (d) Interpret the decision in the context of the original claim. A. At the 10% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is greater than 11.0. B. At the 10% level of significance, there is sufficient evidence to reject the claim that the mean number of classroom hours per week for full-time faculty is