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 his claim.You randomly select 18 classes taught by full-time faculty and determine the class size of each:

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a)Find the sample mean and sample standard deviation of the data.

b)At = 0.05, can you support the university's claim?(Show entire hypothesis test)