NBC reports that Americans watch a mean of 30 minutes of television per evening. We conduct a research study in an attempt to prove that the mean is greater. In a sample of 150 Americans, the sample mean was 32 minutes per evening with a standard deviation of 10 minutes.

(a) (2pts) Develop the null and alternative hypotheses:

(b) (5pts) At = 0.02, determine if the researcher collected sufficient data to Reject H0. Show all supporting work using the methods learned in class.