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Problem 03-29 Thirty patients who check out of the Rock Creek Regional Hospital each week are asked to complete a questionnai

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Answer #1

Answer: Pbar= total dissatisfied patients/total observations= 95/480= 0.198~0.20

UCLp= 0.416~0.42, LCLp= 0.00

Explanation:

Sample defectives observation
1 4 30
2 2 30
3 8 30
4 9 30
5 5 30
6 10 30
7 8 30
8 9 30
9 7 30
10 4 30
11 3 30
12 2 30
13 1 30
14 6 30
15 12 30
16 5 30
total 95 480
steps and formulas, 3 sigma process
P= total defective/total observations 0.198
Q= 1-P 0.802
N= average sample size 30
Standard deviation squareroot(P*Q/N) 0.073
UCL= P + 3*squareroot(P*Q/N) 0.416
LCL= P - 3*squareroot(P*Q/N) -0.020
defects cannot be negative, therefore negative LCL is taken as '0' 0.000

Answer b: Yes the process is in control, No data point is beyond control limits.

P-Chart 0.450 0.400 0.350 0.300 0.250 0.200 0.150 0.100 0.050 0.000 1 2 3 4 5 6 7 8 9 10 11 proportion-defectives/observation

Sample defectives observation proportion= defectives/observations UCL LCL P
1 4 30 0.133 0.416 0.000 0.198
2 2 30 0.067 0.416 0.000 0.198
3 8 30 0.267 0.416 0.000 0.198
4 9 30 0.300 0.416 0.000 0.198
5 5 30 0.167 0.416 0.000 0.198
6 10 30 0.333 0.416 0.000 0.198
7 8 30 0.267 0.416 0.000 0.198
8 9 30 0.300 0.416 0.000 0.198
9 7 30 0.233 0.416 0.000 0.198
10 4 30 0.133 0.416 0.000 0.198
11 3 30 0.100 0.416 0.000 0.198
12 2 30 0.067 0.416 0.000 0.198
13 1 30 0.033 0.416 0.000 0.198
14 6 30 0.200 0.416 0.000 0.198
15 12 30 0.400 0.416 0.000 0.198
16 5 30 0.167 0.416 0.000 0.198
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