Answer the following questions about the story below: 6. Let's say we want to find the average movie length. In a random sample of 22 movies, the average length was 96.5 minutes with a standard deviation of 12 minutes. Test the claim that the average movie length is more than 90 minutes. a. Is this about a proportion or mean? b. Do you use Z or T distribution? c. What is the null and alternate hypothesis? d. What is the p-value? e. Do you reject or fail to reject the null hypothesis? f. What is the conclusion? g. It is possible that we made an "error" in our conclusion. In the event that we made an error, what error did we make? (Hint: Would it be Type I or Type ll error?)