Question

Problem 10-7 The postmaster of a small western town receives a certain number of complaints each day about mail delivery. 1 4
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Answer #1

Answer a: UCLc= 13.946, LCLc= 2.482,

Answer b: The process is not in control: As we can see that sample 3 and sample 9 are beyond control limits in charts

Explanation:

C-Chart using z= 2
Mean, C= AVERAGE(all defects) 8.214
Standard Dev (STD)= sqrt (mean) 2.8661
UCL= C + z*STD 13.946
LCL= C - z*STD 2.482

C- Chart AN 1 2 3 6 8 10 12 13 14 4 5 defective 7 Mean 9 LCL 11 -UCL

Use the table below for the chart

sample defective Mean LCL UCL
1 4 8.21 2.48 13.95
2 10 8.21 2.48 13.95
3 15 8.21 2.48 13.95
4 8 8.21 2.48 13.95
5 9 8.21 2.48 13.95
6 6 8.21 2.48 13.95
7 5 8.21 2.48 13.95
8 13 8.21 2.48 13.95
9 15 8.21 2.48 13.95
10 7 8.21 2.48 13.95
11 6 8.21 2.48 13.95
12 4 8.21 2.48 13.95
13 2 8.21 2.48 13.95
14 11 8.21 2.48 13.95

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