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A company that operates a production line that fills 16 ounce boxes of pasta shells uses a quality assurance process that involves randomly selecting and

  1. A company that operates a production line that fills 16 ounce boxes of pasta shells uses a quality assurance process that involves randomly selecting and weighing four boxes every hour. The sample data collected during a particular eight-hour shift is as follows:

Box No.

Hour No.

1

2

3

4

1

15.97

16.00

16.01

16.02

2

16.13

16.12

16.15

16.12

3

15.98

15.92

15.95

15.96

4

15.85

16.00

15.98

16.15

5

15.99

15.98

16.07

16.00

6

15.97

16.10

16.04

16.02

7

16.01

15.92

16.03

16.05

8

16.00

15.97

16.03

15.98

    1. What are the values for the lower and upper controls limit for x-bar using a 99.7% level of confidence?
    2. Prepare an x-bar chart that reflects upper and lower control limits for x-bar, x-double bar, and x-bar for each hour. Based upon the x-bar chart, for what specific hours was x-bar outside the control limits during the eight-hour period?
    3. What are the values for the lower and upper controls limit for R using a 99.7% level of confidence?
    4. Prepare a R chart that reflects the upper and lower control limits for R, R-bar, and R for each hour. Based upon the R chart, for what specific hours was R outside the control limits during the eight-hour period?

  1. The manager of a local bank perceives that there has been an increase in the incidence of customers complaints regarding excessive waiting times at the drive-thru teller window. The manager surveyed twenty randomly selected drive-thru teller window customers daily for a period of fourteen days. The number of customers who indicated they had experienced excessive waiting times was as follows. Each instance of a customer indicating they had experienced an excessive waiting time constitutes a defect.

Day No.

No. Complaints

1

2

2

3

3

7

4

2

5

2

6

8

7

8

8

7

9

8

10

2

11

2

12

6

13

2

14

2

What are the values for the lower and upper controls limit for the percent defects using a 95.5% level of confidence?

Prepare a p-chart that reflects the upper and lower control limits for p, p-bar, and p for each day. Based upon the p-chart, for what specific days was the percent defective outside the control limits during the fourteen-day period?

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