Reconsider the situation in Exercise 11.2. Suppose that the sample mean vector and sample covariance… 1 answer below »

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December 17, 2021
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December 17, 2021

Reconsider the situation in Exercise 11.2. Suppose that the sample mean vector and sample covariance matrix provided were the actual population parameters. What control limit would be appropriate for phase II of the control chart? Apply this limit to the data and discuss any differences in results that you find in comparison to the original choice of control limit.

A product has three quality characteristics. The nominal values of these quality characteristics and their sample covariance matrix have been determined from the analysis of 30 preliminary samples of size n =10 as follows:

The sample means for each quality characteristic for 15 additional samples of size n =10 are shown in Table 11E.2. Is the process in statistical control?

TABLE 1 1 E .2

Data for Exercise 11.2

Sample Number

1

3.1

3.7

3.0

2

3.3

3.9

3.1

3

2.6

3.0

2.4

4

2.8

3.0

2.5

5

3.0

3.3

2.8

6

4.0

4.6

3.5

7

3.8

4.2

3.0

8

3.0

3.3

2.7

9

2.4

3.0

2.2

10

2.0

2.6

1.8

11

3.2

3.9

3.0

12

3.7

4.0

3.0

13

4.1

4.7

3.2

14

3.8

4.0

2.9

15

3.2

3.6

2.8

 
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