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 30 30 33 39 34 30 29 27 29 22 (a) Write the claim mathematically and identify H, and H. Which of the following correctly states H, and H. ? O A. Ho: HIS 32 O B. Ho: W=32 MC. Ho: 12 32 H : p > 32 H.:p # 32 H :u 32 Ha: p2 32 Hap 78; a = 0.05 Sample statistics: x = 78.8, s = 3.6, n = 27 What are the null and alternative hypotheses? Choose the correct answer below. A. Ho: HS 78 O B. Ho: H = 78 HA: H > 78 HA: H # 78 O C. Ho: H 2 78 O D. Ho: H # 78 HA: H