Size of Sample : Factor for UCL and LCL for x-chart (A2) :Factor fo LCL for R-Chart (D3) : Factor for UCL for R-Chart (D4)

2 : 1.880 : 0 : 3.267

3 : 1.023 : 0 : 2.575

4 : 0.729 : 0 : 2.282

5 : 0.577 : 0 : 2.115

6 : 0.483 : 0 : 2.004

7 : 0.419 : 0.076 : 1.924

8 : 0.373 : 0.136 : 1.864

9 : 0.337 : 0.184 : 1.816

10 : 0.308 : 0.223 : 1.777

The Money Pit Mortgage Company is interested in monitoring the performance of the mortgage process. Fifteen samples of five completed mortgage transactions each were taken during a period when the process was believed to be in control. The times to complete the transactions were measured. The means and ranges of the mortgage process transaction times, measured in days, are as follows: Sample 1 2 7 8 9 10 11 12 13 14 15 Mean 15 11 5 9 10 12 13 10 11 6 8 6 9 Range 9 13 6 10 11 15 14 17 12 12 14 8 11 13 15 3 4 5 6 14 13 16 8 10 17 11 13 18 6 8 19 12 6 20 14 14 21 17 16 22 10 13 23 19 12 24 17 10 25 15 Subsequently, samples of size 5 were taken from the process every week for the next 10 weeks. The times were measured and the following results obtained: Sample Mean Range Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. a. Construct the control charts for the mean and the range, using the original 15 samples. Set up the R-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places.) R-chart UCLR = R LCLR