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:
b.
Sample123456789 10 11 12 13 14 15 Mean 5 103 7 8 13 14 9 9 9 5 10 12 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 16 7 18 19 20 21 22 23 24 25 Mean7 11 612 14 17 10 19 17 15 Range 5 10 5 3 12 10 9 75 Factors for calculating three-sigma limits for the x-chart and R-chart Size of Sample Factor for UCL and LCL Factor for LCL for R-Chart (D3) for x-chart (A2) 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 Factor for UCL for R-Chart (D4) 3.267 2.575 2.282 2.115 2.004 1.924 1.864 1.816 2 4 6 7 8 0.076 0.136 0.184 0.223 10 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 Set up the x-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places) x-chart UCL- LCL
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