Refer to Exercise 70. Suppose sample size was 50 days rather than 10 days. Show the proper hypothesis test and report your conclusion.
In exercise
Your friend Fred claims that his average gym workout time is at least 150 minutes per day. You pick a random sample of 10 days and observe that on the days in the sample, Fred’s average workout time was 136 minutes. The standard deviation of workout times in the sample was 28 minutes. You plan to use the sample results to test Fred’s claim. Assume that Fred’s workout times are normally distributed. Set up an appropriate hypothesis test to test Fred’s claim. Use a significance level of 5%. Should Fred’s claim be rejected? Explain.