1 of 1 STAT-341 Home work 3 Please submit your solutions by Thursday, 23rd December 2021. Show all work. 8.2 A manufacturer of band saws wants to estimate the average repair cost per month for the saws he has sold to certain industries. He cannot obtain a repair cost for each saw, but he can obtain the total amount spent for saw repairs and the number of saws owned by cach industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The manufacturer selects a simple random sample of a 20 from the N 96 industries he services. The data on total cost of repairs per industry and number of saws per industry are as given in the accompanying table. Estimate the average repair cost per saw for the past month and place a bound on the error of estimation. Number of saws Total repair cost for past month (dollars) Industry 50 110 230 140 60 280 12 14 240 45 60 230 140 10 12 130 13 70 50 14 15 16 17 10 60 280 150 18 19 110 20 120 8.3 For the data in Exercise 8.2, estimate the total amount spent by the 96 industries on band saw repairs. Place a bound on the error of estimation. 8.4 After checking his sales records, the manufacturer in Exercise 8.2 finds that he sold a total of 710 band saws to these industries. Using this additional information, estimate the total amount spent on saw repairs by these industries and place a bound on the error of estimation. 8.5 The same manufacturer (Exercise 8.2) wants to estimate the average repair cost per saw for next month. How many clusters should he select for his sample if he wants the bound on the error of estimation to be less than $27 STSATM/16 12 202AIWA