The dean of a university estimates that the mean number of classroom hours per week for fulltime faculty is 11.0. As a member of the student council, you want to test this claim. A random sample ofthe number of classroom hours for eight full-time faculty for one week is shown in the table below. At or = 0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 10.1 9.6 12.9 8.6 7.8 11.5 14.4 8.41: (a) Write the claim mathematically and identify H0 and Ha. Which of the following correctly states H0 and Ha? ":12 A. H01u=11.0 {:1} B. H01u>11.0 (EC. H01u211.0 Ha:u#11.0 Ha:us11.0 Ha:u11.0 (b) Use technology to nd 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? A. Fail to reject H0 because the Pvalue is greater than the significance level. {I} B. Reject H0 because the Pvalue is greater than the significance level. C. Reject H0 because the Pvalue is less than the signicance level. {I} D. Fail to reject H0 because the Pvalue is less than the significance level. (d) Interpret the decision in the context of the original claim. 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 or = 0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 10.1 9.6 12.9 8.6 7.8 11.5 14.4 8.4CI (E Ha:u#11.0 Ha:us11.0 Ha:u11.0 (b) Use technology to nd the P-value. P = (Round to three decimal places as needed.) (0) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? A. Fail to reject H0 because the Pvalue is greater than the significance level. {I} B. Reject H0 because the Pvalue is greater than the significance level. {I} C. Reject H0 because the Pvalue is less than the signicance level. {I} D. Fail to reject H0 because the Pvalue is less than the significance level. (d) Interpret the decision in the context of the original claim. ":2? A. At the 1% level of significance, there is not sufcient evidence to reject the claim that the , . At the 1% level of significance, there is not sufcient evidence to reject the claim that the mean number of classroom hours per week forfull-time faculty is 11.0. mean number of classroom hours per week forfull-time faculty is less than 11.0. ":2? C. At the 1% level of significance, there is sufcient evidence to reject the claim that the , . At the 1% level of significance, there is sufcient evidence to reject the claim that the mean number of classroom hours per week forfull-time faculty is 11.0. mean number of classroom hours per week forfull-time faculty is g