2: Many companies are increasingly concerned about computer security and employees using their computers for personal use. A random sample of 50 employees of Liberty Mutual Insurance Company was obtained, and each was asked whether they use the Internet for personal purposes during the day. The average of hours for the 50 employees is 0.722. Assume the population standard deviation is 0.5 hours. a. Find an 95% confidence interval for the mean number of hours all employees at Liberty Mutual use the internet for personal reasons. b. Using the confidence interval in part (a), is there any evidence to suggest that the mean time spent using the Internet for personal reasons is more than 1 hour? Justify your answer. c. How large a sample is necessary in order for the bound on the error of estimation to be 0.1 hours