The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch. Sample Tread Wear 1 31 42 28 | 26 18 35 | 25 30 34 | 17 25 21 3 4 5 38 29 35 | 41 42 36 | 21 17 29 | 32 26 28 6 8 9 41 34 33 10 29 17 30 11 26 31 40 12 23 19 25 13 17 24 32 14 43 35 17 15 18 25 | 29 16 30 42 31 17 28 36 32 18 40 29 31 19 18 29 28 20 22 34 26

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The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three
radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch.
Sample
Tread Wear
1
31
42
28
26
18
35
3
25
30
34
4
17
25
21
38
29
35
41
42
36
7
21
17
29
8.
32
26
28
9.
41
34
33
10
29
17
30
11
26
31
40
12
23
19
25
13
17
24
32
14
43
35
17
15
18
25
29
16
30
42
31
17
28
36
32
18
40
29
31
19
18
29
28
20
22
34
26
Transcribed Image Text:The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch. Sample Tread Wear 1 31 42 28 26 18 35 3 25 30 34 4 17 25 21 38 29 35 41 42 36 7 21 17 29 8. 32 26 28 9. 41 34 33 10 29 17 30 11 26 31 40 12 23 19 25 13 17 24 32 14 43 35 17 15 18 25 29 16 30 42 31 17 28 36 32 18 40 29 31 19 18 29 28 20 22 34 26
Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.)
UCL =
LCL =
Construct the R chart.
35
35
35+
UCL
30
30
30
25
25
20
20
UCL
UCL
15
15
15
10
10
10
LCL
5-
5
5
LCL
LCL
+
4 6
8 10 12 14 16 18 20
4 6 8 10 12 14 16 18 20
2 4
6 8 10 12 14 16 18 20
Sample Number
Sample Number
Sample Number
35
30
25
UCL
20
15
10
LCL
+
2
4
8 10 12 14 16 18 20
Sample Number
i
Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the x chart.
Compute the upper and lower control limits for the x chart. (Round your answers to two decimal places.)
UCL =
LCL =
Construct the x chart.
Sample Range
Sample Range
Sample Range
Sample Range
Transcribed Image Text:Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.) UCL = LCL = Construct the R chart. 35 35 35+ UCL 30 30 30 25 25 20 20 UCL UCL 15 15 15 10 10 10 LCL 5- 5 5 LCL LCL + 4 6 8 10 12 14 16 18 20 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 Sample Number Sample Number Sample Number 35 30 25 UCL 20 15 10 LCL + 2 4 8 10 12 14 16 18 20 Sample Number i Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the x chart. Compute the upper and lower control limits for the x chart. (Round your answers to two decimal places.) UCL = LCL = Construct the x chart. Sample Range Sample Range Sample Range Sample Range
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