Question: A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n =

A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n = 5) taken. The population process standard deviation is 1.20.

Samples

1

2

3

4

5

6

7

8

9

10

11

9

13

11

13

10

11

14

7

11

9

10

8

9

9

10

12

16

9

13

10

12

9

12

10

8

10

7

12

9

9

10

10

11

12

11

9

10

12

8

12

10

8

9

10

10

9

7

9

12

Sample

Size, n

Mean Factor,

A2

Upper Range,

D4

Lower Range,

D3

2

1.880

3.268

0

3

1.023

2.574

0

4

0.729

2.282

0

5

0.577

2.115

0

6

0.483

2.004

0

7

0.419

1.924

0.076

8

0.373

1.864

0.136

9

0.337

1.816

0.184

10

0.308

1.777

0.223

12

0.266

1.716

0.284

standard deviation of the sampling means = ____ ounces ( round response to three decimal places)

With z =3, the control limits for the mean chart are :

UCLx- ____________ ounces (round to three decimal places)

LCLx- ______________ ounces (round to three decimal places)

c) the control limits for the R-chart are:

UCLr= _______________________________ ounces (round tot hree decimal places)

LCLR= ____________________ ounces (round to three decimal places)

Based on the x chart is one or more samples beyond the conrol limits yes/ no

based on the r chart is one or more samples beyond the control limits? yes/ no

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