1 A worker, concerned about his work-life balance, records time spent working over an entire year. He records his daily activity, including email checking while at home, and time spent at the office, subtracting office-time spent on non-work activities. While he gathers daily data for the whole year, he decides to randomly select 60 days. These have an average of 7.65 hours, with a standard deviation of 1.2 hours. (a) Does the sample indicate the man spends more than 7.5 hours per day working, on average? State your hypotheses, test statistic, rejection region and conclusion carefully. (b) Calculate a 95% confidence interval for the population mean, and explain why this interval is broadly consistent with the finding in (a). (c) How many days in total would he need in order to estimate the average time working to within 15 minutes (0.25 of an hour)? (You can use the sample above for the estimate of .) Question 2 The television watching habits of a sample of 40 overweight and obese adults were monitored. The subjects were asked to self-report TV viewing time in response to the question \"How many hours do you watch TV per day, on average\