Question: 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

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 2 ounces. Each day last week, he randomly selected four packages and weighed each. The data from that activity appear below.

Weight
Day Package 1 Package 2 Package 3 Package 4
Monday 23 22 23 20
Tuesday 23 21 19 21
Wednesday 20 22 20 21
Thursday 18 19 20 17
Friday 18 20 22 22

(a) Calculate the mean of all sample means.

(b) Calculate upper and lower control limits that include 99% of the sample means.

(c) Based on the x-bar chart, is this process in control?

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