Use the following to answer questions 14-19: A design engineer wants to construct a sample mean...

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In: Operations Management

Use the following to answer questions 14-19:

A design engineer wants to construct a sample mean chart and a range chart for controlling the diameter for a component used in surgeries. The following table contains measurements (in millimeters) of the diameter for a component. Four samples of five units each were taken at random two-hour intervals.

14. What is the sample mean for Sample 1?

a. 8.8

b. 10.1

c. 11

d. 8.0

e. 9.2

15.

What is the sample range for Sample 1?

a. 0

b. 1

c. 3

d. 4

e. 2

16. What is the estimate of the process mean for whenever it is in control?

a. 9.30

b. 8.85

c. 10.60

d. 10.00

e. 8.00

17. What is the estimate of the sample average range based upon this limited sample?

a. 1.1

b. 0.0

c. 1.0

d. 2.0

e. 1.5

18. What are the X-bar chart upper and lower control limits?

a. 10.01 and 7.15

b. 9.37 and 8.03

c. 11.87 and 5.83

d. 9.94 and 6.77

e. 9.72 and 7.98

19. What are the R chart upper and lower control limits?

a. 3.165 and 0

b. 4.225 and 0

c. 4.565 and 0

d. 3.855 and 0.042

e. 3.520 and 0

Answer 14: (a) 8.8 is the sample mean for sample 1.

Answer 15: (e) 2 is the sample range for sample 1.

Answer 16: (b) 8.85 is the estimate of the process mean for whenever it is in control.

Answer 17: (e) 1.5 is the estimate of the sample average range based upon this limited sample.

Answer 18: (e) 9.72 and 7.98 are the X-bar chart upper and lower control limits.

Answer 19: (e) 3.520 and 0 are the R chart upper and lower control limits.

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