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 3 4 5 6 7 8 9 10 11 12 13 14 15 Mean 20 17 11 20 15 16 18 19 16 17 20 12 14 12 15 Range 6 10 3 7 8 14 11 14 9 9 11 5 8 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 17 18 19 20 21 22 23 24 25 Mean 14 17 12 18 20 23 16 25 23 21 Range 6 10 5 3 11 14 10 9 7 5

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

UCL r = ____

R (line overtop) = ____

LCL r = ____