Suppose that, as Human Resources Manager of a firm with more than 10,000 employees, you are interested in understanding: (i) what fraction of those employees are satisfied with their working conditions and (ii) how many hours your employees spend each evening reading and writing work-related emails. You do not have the budget to survey all employees, so you a sample of 200 employees. The results reveal that: (i) 125 of the sample employees are satisfied with their working conditions and (ii) sample employees spend, on average, 2.2 hours each evening reading and writing work-related emails, with a sample standard deviation of 0.4 hours.

(a) Construct and interpret a 95% confidence interval for the proportion (p) of employees who are satisfied with their working conditions.

(b) Construct and interpret a 95% confidence interval for the mean number of hours () employees spend reading and writing work-related emails each evening.