1. No work needed, only correct answer needed for the last part:

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 35 26 27 35 35 39 27 24 302 30 33 39 34 30 29 27 29 22 (a) Write the claim mathematically and identify H and He Which of the following correctly states H, and He ? O A. Ho: HIS 32 O B. Ho: H= 32 VC. Ho: H 2 32 H : [ > 32 H : p # 32 H : H 32 Ha: H 2 32 Ha: H $21,000 C. H : H = $21,000 Ha: p $21,000 He: p = $21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to ? to =0 (Use a comma to separate answers as needed. Round to three decimal places as needed.)