A quality inspector took five samples, each with four observations (n = 4), of the length oftime for glue to dry. The analyst computed the mean of each sample and then computed thegrand mean. All values are in minutes. Use this information to obtain three-sigma (i.e., z = 3)control limits for means of future times. It is known from previous experience that the standard deviation of the process is .02 minute.SAMPLE1 2 3 4 51 12.11 12.15 12.09 12.12 12.09Observation 2 12.10 12.12 12.09 12.10 12.143 12.11 12.10 12.11 12.08 12.134 12.08 12.11 12.15 12.10 12.12¯X 12.10 12.12 12.11 12.10 12.12
A quality inspector took five samples, each with four observations (n = 4), of the length oftime for glue to dry. The analyst computed the mean of each sample and then computed thegrand mean. All values are in minutes. Use this information to obtain three-sigma (i.e., z = 3)control limits for means of future times. It is known from previous experience that the standard deviation of the process is .02 minute.SAMPLE1 2 3 4 51 12.11 12.15 12.09 12.12 12.09Observation 2 12.10 12.12 12.09 12.10 12.143 12.11 12.10 12.11 12.08 12.134 12.08 12.11 12.15 12.10 12.12¯X 12.10 12.12 12.11 12.10 12.12
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
A quality inspector took five samples, each with four observations (n = 4), of the length of
time for glue to dry. The analyst computed the mean of each sample and then computed the
grand mean. All values are in minutes. Use this information to obtain three-sigma (i.e., z = 3)
control limits for means of future times. It is known from previous experience that the standard deviation of the process is .02 minute.
SAMPLE
1 2 3 4 5
1 12.11 12.15 12.09 12.12 12.09
Observation 2 12.10 12.12 12.09 12.10 12.14
3 12.11 12.10 12.11 12.08 12.13
4 12.08 12.11 12.15 12.10 12.12
¯
X 12.10 12.12 12.11 12.10 12.12
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