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 alphaequals0.05, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 10.6 8.9 11.5 6.3 7.2 10.4 12.5 8.7 Question content area bottom Part 1 (a) Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. Which of the following correctly states Upper H 0 and Upper H Subscript a? A. Upper H 0: muless than or equals11.0 Upper H Subscript a: mugreater than11.0 B. Upper H 0: munot equals11.0 Upper H Subscript a: muequals11.0 C. Upper H 0: muequals11.0 Upper H Subscript a: munot equals11.0 Your answer is correct.D. Upper H 0: muless than11.0 Upper H Subscript a: mugreater than or equals11.0 E. Upper H 0: mugreater than or equals11.0 Upper H Subscript a: muless than11.0 F. Upper H 0: mugreater than11.0 Upper H Subscript a: muless than or equals11.0 Part 2 (b) Use technology to find the P-value. Pequals enter your response here (Round to three decimal places as needed.)