Question: Case weight was determined to be a very important parameter in a packaging plant. Once every hour a sampling of 5 case weights was taken.

Case weight was determined to be a very important parameter in a packaging plant. Once every hour a sampling of 5 case weights was taken. The last six hours worth of sample weights in kilograms is presented in the table below. Using the data in this table, answer the three questions below.

W1

W2

W3

W4

W5

1:00

4

5

6

3

6

2:00

5

4

4

6

5

3:00

7

7

4

9

7

4:00

4

6

6

7

6

5:00

7

8

6

5

4

6:00

6

5

4

4

3

Table of Constants

Samples (n)

A2

D3

D4

3

1.023

0.000

2.574

4

0.729

0.000

2.282

5

0.577

0.000

2.114

6

0.480

0.000

2.000

10

0.308

0.223

1.777

15

0.223

0.347

1.653

New Set of Sample Means and Ranges

X-Bar

4.3

5.9

5.8

6.0

5.7

R

1.0

3.2

3.3

6.1

3.4

- A. B. C. D. E.

What is overall process avg. of these weights?

- A. B. C. D. E.

What is the avg. range of these weights?

- A. B. C. D. E.

What are the upper and lower control limits of the X-bar chart for this set of data?

- A. B. C. D. E.

What are the upper and lower control limits of the R-chart for this set of data?

- A. B. C. D. E.

Given the new set of sample means and ranges in the above table. Is this process in control? Why?

A.

Overall Process Avg. = 5.43

B.

Avg. Range = 3.33

C.

R-chart UCL = 7.04; R-chart LCL = 0

D.

Yes, means are within the control limit

E.

X-bar UCL = 7.35; X-bar LCL = 3.51

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