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:15 12 6 15 10 10 13 14 11 12 13 7 9 7 10
Range:5 10 3 7 8 13 11 14 9 9 10 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:8 12 7 13 15 16 11 20 18 16
Range:7 10 5 3 11 12 10 9 7 5

Factors for calculating​ three-sigma limits for the ​-chart and​ R-chart
Factors for calculating​ three-sigma limits for the
x overbarx​-chart and​ R-chart
Size of Sample​ (n)
Factor for UCL and LCL for
x overbarx​-chart
​(Upper A 2A2​)
Factor for LCL for​ R-Chart
​(Upper D 3D3​)
Factor for UCL for​ R-Chart
​(Upper D 4D4​)
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

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=