## Question

###### Problem 10-7 The postmaster of a small western town receives a certain number of complaints each...

Problem 10-7 The postmaster of a small western town receives a certain number of complaints each day about mail delivery. 1 4 Number of complaints 2 10 3 15 4 8 5 9 DAY 7 8 5 13 6 6 9 15 10 7 11 6 12 4 13 2 14 11 a.Determine two-sigma control limits using the above data. (Round your intermediate calculations to 4 decimal places and final answers to 3 decimal places. Leave no cells blank.be certain to enter "0" wherever required. Round up any negativ controllimit value to zero.) UCL LCL b. Is the process in control? No Yes

## Answers

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 13.946LCL= C - z*STD 2.482Use 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

Please ask, if you have any doubts through the comment section. Do rate the answerC- Chart AN 1 2 3 6 8 10 12 13 14 4 5 defective 7 Mean 9 LCL 11 -UCL

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