Question: The data in Table 1 below presents 20 subgroups of five measurements on the critical dimensions of a component produced by a machining process. The

The data in Table 1 below presents 20 subgroups of five measurements on the critical dimensions of a component produced by a machining process.

The specification dimensions for the component are 305 5 mm

Step 1. Set up average and range control charts for the process:

  • by manually calculating the average, upper control limits and lower control limits using the M&B statistical tables.

Sample

x1

x2

x3

x4

x5

1

308.1

300.8

308.7

307.4

305.4

2

309.3

302.1

305.0

304.0

302.3

3

305.9

305.6

304.2

305.0

307.4

4

308.5

306.5

300.2

302.6

300.2

5

308.2

303.8

307.1

302.4

300.9

6

302.8

302.0

305.0

305.0

305.8

7

300.4

304.3

302.8

308.5

309.3

8

302.7

301.1

304.0

303.9

305.1

9

306.4

306.2

304.7

307.1

303.2

10

305.0

305.4

309.1

308.3

300.4

11

309.6

307.9

301.1

303.7

300.5

12

305.3

300.2

300.4

302.4

305.1

13

305.7

301.8

309.5

303.3

301.8

14

308.6

309.0

301.9

300.2

301.1

15

300.1

304.6

305.1

303.8

309.6

16

305.2

301.0

304.6

300.2

307.3

17

305.9

305.3

301.5

307.9

305.0

18

309.7

300.3

300.5

309.0

300.5

19

303.4

300.0

301.6

308.4

304.2

20

304.8

308.3

309.6

301.8

302.7

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