You receive a brochure from a large university. The brochure indicates that the mean class size forfull-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught byfull-time faculty and determine the class size of each. The results are shown in the table below. At =0.01, can you support theuniversity's claim? Complete parts(a) through(d) below. Assume the population is normally distributed.

34, 28, 29, 28, 27, 38, 32, 35, 32, 28, 37, 24, 27, 32, 27, 29, 29, 23

b) what is the p value?

c) decide whether to reject or fail the null