A data set includes data from student evaluations of courses. The summary statistics are n = 87, x=3.42, s=0.63 Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.