Example 22.3 A company manufactures tyres. A quality control engineer is responsible to ensure that the tyres turned out are fit for use up to 40,000 km. He monitors the life of the output from the produc- tion process. From each of the 10 batches of 900 tyres, he has tested 5 tyres and recorded the following data, with and R measured in thousands of km. Batch 1 2 3 4 6. 10 40.2 43.1 42.4 39.8 43.1 41.5 40.7 39.2 38.9 41.9 R 1.3 1.5 1.8 0.6 2.1 1.4 1.6 1.1 1.3 1.5 Construct an x-chart using the above data. Do you think that the production process is in control? Explain.

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Example 22.3 A company manufactures tyres. A quality control engineer is responsible to ensure that
the tyres turned out are fit for use up to 40,000 km. He monitors the life of the output from the produc-
tion process. From each of the 10 batches of 900 tyres, he has tested 5 tyres and recorded the following
data, with x and R measured in thousands of km.
Batch
2
3
4
6.
7
8.
9.
10
40.2
43.1
42.4
39.8
43.1
41.5
40.7
39.2
38.9
41.9
1.3
1.5
1.8
0.6
2.1
1.4
1.6
1.1
1.3
1.5
Construct an x-chart using the above data. Do you think that the production process is in control?
Explain.
Transcribed Image Text:Example 22.3 A company manufactures tyres. A quality control engineer is responsible to ensure that the tyres turned out are fit for use up to 40,000 km. He monitors the life of the output from the produc- tion process. From each of the 10 batches of 900 tyres, he has tested 5 tyres and recorded the following data, with x and R measured in thousands of km. Batch 2 3 4 6. 7 8. 9. 10 40.2 43.1 42.4 39.8 43.1 41.5 40.7 39.2 38.9 41.9 1.3 1.5 1.8 0.6 2.1 1.4 1.6 1.1 1.3 1.5 Construct an x-chart using the above data. Do you think that the production process is in control? Explain.
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