It is commonly said that the average college student spends 10 hours per week on the Internet. You believe that the 10-hour figure is simply wrong, and decide to collect your own sample for a hypothesis test. You randomly sample 64 students from your college and find that on average they spent 13.5 hours a week online, with a sample variance of 4 hours. The probability of Type I Error is 5%. a) What is the assumption about the distribution of the Internet hours random variable and what does the assumption imply about the distribution of the sample mean? b) What is the null and alternative hypotheses? c) Write down test statistic and explain how it is distributed when the null hypothesis is true and how it behaves when the null hypothesis is false. d) Probability of Type I Error to use? e) Show in a graph the test rejection region you would use. Be sure to label the distribution of the test statistic when the null hypothesis is true, and indicate explicitly where the probability of Type I Error is depicted in your graph.