The new management team of a company with 200 staff members wants to know the efficiency of its staff members. They randomly select 50 staff members and observe them for a period of time and note that their daily average working hour is 7 hours. If previous research in the field of Human Resources show that the standard deviation of the number of hours that people work is half an hour, construct a 95% confidence interval for the average number of hours that the companies staff member work per day. Please include confidence interval formula that you use for your calculations

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