ezto mheducation.com Assignment 5 - Chapter 10-Quality Control Computer Upgrades
ID: 397624 • Letter: E
Question
ezto mheducation.com Assignment 5 - Chapter 10-Quality Control Computer Upgrades Have A Nominal Tinme Of 80 Minu Question 6 (of 7) 0.71 points Problem 10-7 The postmaster of a smal westem town receives a certain number of complaints each day about mail delivery. DAY 1 2 3 45 6 78 9 10 11 12 13 14 4 11 15 89 6 5 14 13 7 6 4 2 10 Number of complaints a. Determine three-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 " wherever required. Round up any negative control limit value to zero.) UCL LCL b. is the process in control? Yes No Hints References eBook& Resources Check my workExplanation / Answer
Nmumber of days = 14
Sum of complaints = 4+11+15+8+9+6+5+14+13+7+6+4+2+10 = 114
C-bar = Sum of complaints / Number of days = 114/14 = 8.1429
Using a three sigma control limit,the value of Z = 3
UCL = C-bar + [Z(Sqrt of C-bar)]
= 8.1429 + [3(Sqrt of 8.1429)]
= 8.1429 + (3X2.8536)
= 8.1429 + 8.5608
= 16.704
LCL = C-bar - [Z(Sqrt of C-bar)]
= 8.1429 - [3(Sqrt of 8.1429)]
= 8.1429 - (3X2.8536)
= 8.1429 - 8.5608
= - 0.425
= 0 (as when the LCL is less than zero,it is considered as zero)
The process is in control because the number of complaints lies between the upper control limit i.e 16.704 and the lower control limit i.e 0
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