5. A sample of 16 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips. The average number of chocolate chips per cookie in the sample was 7.875 with a standard deviation of 1. Assume the distribution of the population is normal. a. State the null and alternative hypotheses. b. Using a critical value, test the hypothesis at the 1% level of significance. c. Using a p-value, test the hypothesis at the 1% level of significance. d. Compute the probability of a Type II error if the true number of chocolate chips per cookie is 8.