The mean annual tuition and fees for a sample of 14 private colleges in California was $37,900 with a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000?

a. State the null and alternate hypotheses.

b. Compute the value of the t statistic. How many degrees of freedom are there?

c. State your conclusion. Use the α = 0.01 level of significance.