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 α = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 38 31 31 28 28 333 32 34 35 33 35 26 25 38 25 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? OA. Ho: μ≤32 22 27 32 2233 23 26吋 31 28 B. Ho: μ<32 Нa: μ≥32 C. Ho: μ>32 Нa: μ≤32 E. Ho: μ≥32 OF. Ho μ=32 Ha: μ < 32 Нa: μ#32 Нa μ> 32 OD. Ho: μ=32 Нa μ<32 (b) Use technology to find the P-value. P = =☐ (Round to three decimal places as needed.)

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