Question

1.)Ready Care is a specialized medical treatment care facility that has recently opened in the local Wal-Mart. Currently, they offer assessments on common ailments as they are only staffed by nurse practitioners. The organization has decided to measure its process performance in terms of processing patients in a timely manner. The data for what was deemed a standard week is shown below.

	Patient 1	Patient 2	Patient 3	Patient 4
Monday	25	32	22	24
Tuesday	32	34	18	25
Wednesday	21	26	35	19
Thursday	22	17	33	27
Friday	19	27	26	21

Given the data above, what is the upper control limit (UCL) for the R chart?

2.)Given the data in Question 1, what is the lower control limit (LCL) for the R chart?

3.)Again using the data from Question 1, what is the upper control limit (UCL) for the x-bar chart?

4.)Finally, what is the lower control limit (LCL) for the x-bar chart?

5.)After the control charts have been constructed, Ready Care collected more data on a continual basis (see chart below) in order to assess their delivery process

	Patient 1	Patient 2	Patient 3	Patient 4
Monday	18	19	22	24
Tuesday	35	34	37	32
Wednesday	34	34	33	36
Thursday	22	17	33	27
Friday	19	27	26	21

Given the additional data, what can be said about the process?

a.) It is capable of meeting customer expectations

b.) It is not capable of meeting customer expectations

c.) It is in control

d.) It is out of control

Answer 1

	Patient 1	Patient 2	Patient 3	Patient 4
Monday	25	32	22	24
Tuesday	32	34	18	25
Wednesday	21	26	35	19
Thursday	22	17	33	27
Friday	19	27	26	21
Total	119	136	134	116	Total
Average = Total /5	23.80	27.20	26.80	23.20	101.00
Range = Max observation -Min observation	13	17	17	8	55.00

Now, X -bar = 101/ 4 =25.25 , R-bar = 55/4 =13.75

Formulas to be used:

Now, Sample size n =5, For n =5 . A2 =0.577 , D3=0, D4 =2.114 where A2, D3 and D4 are X-chart and R-chart constants.

UclX = X-bar + A2*R-bar = 25.25 + 0.577*13.75 = 33.18

LCLx= X-bar - A2*R-bar= 25.25 - 0.577*13.75 = 17.32

UCLr = R-bar*D4 = 13.75*2.114 = 29.07

LCLr =R-bar*D3 = 13.75*0 = 0

Part 5 ) The process is capable of meeting customer expectations as the next sample's averages and range are within the control limits calculated above.

	Patient 1	Patient 2	Patient 3	Patient 4
Monday	18	19	22	24
Tuesday	35	34	37	32
Wednesday	34	34	33	36
Thursday	22	17	33	27
Friday	19	27	26	21
Total	128	131	151	140
Average = Total /5	25.60	26.20	30.20	28.00
Range = Max observation -Min observation	17	17	15	15