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 13.946 LCL= C - z*STD 2.482
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 Please ask, if you have any doubts through the comment section. Do rate the answer
C- Chart AN 1 2 3 6 8 10 12 13 14 4 5 defective 7 Mean 9 LCL 11 -UCL
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