3. I am interested in looking at the salaries of professors to see if they are c

Question

3. I am interested in looking at the salaries of professors to see if they are consistently paid similarly, regardless of location and specialties. Random samples of size four were taken and produced the following data:

Sample

Average

Range

1

95751.6

33196

2

74659.8

19028

3

64632.2

17445

4

64964

18169

5

88361.6

29142

6

73477.4

16012

7

63611.4

11595

8

64352

14901

                a. Find the UCL for the R chart.

                b. Find the LCL for the R chart.

                c. Is this chart in control? Why/why not?

                d. Find the UCL for the xbar-chart.

                e. Find the LCL for the xbar-chart.

                f. Is this process in control? Why/why not?

Sample

Average

Range

1

95751.6

33196

2

74659.8

19028

3

64632.2

17445

4

64964

18169

5

88361.6

29142

6

73477.4

16012

7

63611.4

11595

8

64352

14901

Explanation / Answer

R chart is in control since all the sample ranges lie between UCL and LCL

X bar chart is out of control since some of the sample mean 1is greater than UCL

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