Sample mean chart for controlling a packaging process

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A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that the process standard deviation is two ounces. Each day last week, he randomly selected four packages and weighed each. The data from that activity appears below.

Weight 
Day Package 1 Package 2 Package 3 Package 4 
Monday 23 22 23 24 
Tuesday 23 21 19 21 
Wednesday 20 19 20 21 
Thursday 18 19 20 19 
Friday 18 20 22 20 
a. Calculate all sample means and the mean of all sample means.
b. Calculate upper and lower control limits that allow ±2σ for natural variations.
c. Is this process in control?

Reference no: EM13201771

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