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Question 15 1 pts Using the following sample set, determine the upper and lower control limits for an X-Chart: 15, 10, 12,9.1
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Answer #1
For the control limits, we find average and standard deviation
When we add 3 times standard deviation to average , we get upper control limit
When we deduct 3 times standard deviation from average, we get lower control limit
Sample (X-average) Square
15 3.4 11.56
10 -1.6 2.56
12 0.4 0.16
9 -2.6 6.76
11 -0.6 0.36
11 -0.6 0.36
15 3.4 11.56
9 -2.6 6.76
10 -1.6 2.56
14 2.4 5.76
Total 48.4
Average= sumof numers/Count= 11.6
Standard deviation= Square root of (X-Average)^2/N square root of 48.4/10
Standard deviation= 2.2
Upper control limit= 11.6+3*2.2= 18.2
Lower control limit= 11.6-3*2.2=5
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