Does productivity drop at the end of the workweek? The outputs on Wednesday and Friday of a randomly selected group of five workers are given in Table 1. The last column gives the difference in output for each worker between Friday and Wednesday. The standard deviation of these five differences is 5.26. Table 1: Worker outputs on Wednesday and Friday Worker Wednesday Friday Output Output Difference 71 53 .18 56 47 -9 75 52 -23 58 55 .13 74 58 -16 a. Give the null and alternative hypotheses to determine whether average productivity drops at the end of the workweek. (5 marks) b. Using the critical value approach and assuming alpha is 0.05, should the null hypothesis be rejected? (5 marks) Should output drop towards the end of the week, the employer is worried that average daily output across the firm's 5,000 workers may be below 55 on Fridays. The standard deviation of the five values in the column for "Friday Output" (Table 1) is 4.06. c. Give the null and alternative hypotheses to determine whether average productivity on Friday is below 55. (5 marks) d. Using the critical value approach and assuming alpha is 0.05, should the null hypothesis be rejected