Question
2. Tri-State Bank is investigating the processing time for loan applications. Samples were taken for 25 random days from four branches. Construct control charts using
2. Tri-State Bank is investigating the processing time for loan applications. Samples were taken for 25 random days from four branches. Construct control charts using the Excel template xBar & R-chart. Verify the Excel calculations of the control limits by hand using the formulas in the chapter. Does the process appear to be in statistical control? Why or why not? Samples Data is provided on table below.
Values from Appendix B in textbook - Factors for Control Charts.
For sample size = 4; X-chart values: A2 =.73; D3=0; D4=2.28; d2=2.06;
R-Chart values: d2=2.06; d3=.88; d1=0; D2=4.7; D3=0; D4=2.28
Day | Branch 1 | Branch 2 | Branch 3 | Branch 4 |
1 | 16 | 13 | 24 | 21 |
2 | 14 | 15 | 21 | 16 |
3 | 24 | 19 | 21 | 10 |
4 | 21 | 16 | 29 | 8 |
5 | 12 | 16 | 24 | 14 |
6 | 25 | 12 | 27 | 11 |
7 | 14 | 21 | 23 | 10 |
8 | 10 | 27 | 39 | 23 |
9 | 23 | 15 | 31 | 20 |
10 | 23 | 8 | 23 | 8 |
11 | 17 | 10 | 26 | 21 |
12 | 24 | 24 | 26 | 24 |
13 | 13 | 14 | 19 | 19 |
14 | 9 | 21 | 24 | 13 |
15 | 12 | 9 | 28 | 22 |
16 | 26 | 11 | 14 | 24 |
17 | 20 | 13 | 18 | 23 |
18 | 5 | 20 | 30 | 7 |
19 | 8 | 13 | 22 | 7 |
20 | 28 | 23 | 35 | 12 |
21 | 25 | 14 | 14 | 20 |
22 | 12 | 11 | 31 | 17 |
23 | 21 | 13 | 17 | 23 |
24 | 20 | 23 | 33 | 20 |
25 | 8 | 12 | 43 | 5 |
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