An education publication claims that the mean in-state tuition and fees at public four-year institutions by state is more than $9000 per year. A random sample of 30 states has a mean in-state tuition and fees at public four year institutions of $9231 per year. Assume the population standard deviation is $2380. 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.