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

Weight (kilograms)

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. Develop limits for an appropriate control chart for the means of the process. (Show whole process with all appropriate formulas)

b. Develop limits for an appropriate control chart for the ranges of the process. (Show whole process with all appropriate formulas)

c. Is the process in control? Properly justify your answer.

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