College tuition:The mean annual tuition and fees in the2013-2014 academic year for a sample of14 private colleges in California was$33,500 with a standard deviation of$7350.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 is less than$35,000? Use the = 0.10 level of significance andP-value method with the t-distribution table.

(a) State the appropriate null and alternate hypotheses.

H0 = (blank)

H1 = (blank)

This hypothesis test is a (blank) test. (left tailed, right tailed, or two-tailed)