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 =0.10, can you support theuniversity's claim? Complete parts(a) through(d) below. Assume the population is normally distributed.

36,26,25,28,30,33,31,31,33,26,40,29,25,28,24,27,26,26

a)Write the claim mathematically and identify Upper H₀ and H_a

b)Use technology to find theP-value.

c) Decide whether to reject or fail to reject the null hypothesis.

d) Interpret the decision in the context of the original claim.