Question: Given the following process control data for a normally distributed quality variable (three samples of size four each): Machine Measurements #1 15 14 15 12

Given the following process control data for a normally distributed quality variable (three samples of size four each):

Machine Measurements
#1 15 14 15 12
#2 18 16 20 16
#3 16 17 16 17

If the process is known to have a mean of 15 and a standard deviation of 3, what are the three sigma upper and lower control limits for an x-bar chart?

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