Question: Q5. (20%) A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as

Q5. (20%) A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows:

Samples

Observation

1

2

3

4

5

1

10

9

10

9

12

2

9

9

11

11

10

3

13

9

10

10

9

4

10

10

11

10

10

5

12

10

9

11

10

6

10

10

8

12

9

7

10

11

10

8

9

8

13

10

8

10

8

9

8

8

12

12

9

10

10

12

9

8

12

  1. Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation of the process is 1.36. (10%)
  2. Discuss whether the process is in control or not. (10%)

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