An education publication claims that the mean in-state tuition for a private law school is more than $25,000 per year. A random sample of 31 private law schools has a mean in-state tuition of $24,045. Assume the population standard deviation is $9365. At α = 0.01, test the publication’s claim.

Decide whether you should use the standard normal sampling distribution or a t-sampling distribution to perform the hypothesis test. Justify your decision. Then use the distribution to test the claim. Write a short paragraph about the results of the test and what you can conclude about the claim.