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 two 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

24

Tuesday

23

21

19

21

Wednesday

20

19

20

21

Thursday

18

19

20

19

Friday

18

20

22

20

Calculate upper and lower 2-sigma x-bar chart control limits that allow for natural variations. Based on the x-bar chart, is this process in control?

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