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 each industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The manufacturer selects a simple random sample of n = 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 Total repair cost for past month (dollars) Industry of saws 3 50 2 7 110 3. 11 230 4 9. 140 60 6. 12 280 14 240 3 45 60 10 9. 230 11 8 140 12 6. 130 13 3. 70 14 50 15 10 16 4 60 17 12 280 18 6. 150 19 5 110 20 120

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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 each
industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The
manufacturer selects a simple random sample of n= 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.
Total repair cost for
past month (dollars)
Number
Industry
of saws
1
3
50
7
110
11
230
140
5
60
6.
12
280
14
240
3
45
9.
5
60
10
9.
230 .
11
8
140
12
130
13
3
70
14
50
15
10
16
60
17
12
280
18
150
19
5
110
20
120
Transcribed Image Text: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 each industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The manufacturer selects a simple random sample of n= 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. Total repair cost for past month (dollars) Number Industry of saws 1 3 50 7 110 11 230 140 5 60 6. 12 280 14 240 3 45 9. 5 60 10 9. 230 . 11 8 140 12 130 13 3 70 14 50 15 10 16 60 17 12 280 18 150 19 5 110 20 120
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