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. You do NOT need to show your calculation steps. There is NO partial credits for any mistake (i.e., each answer is either right or wrong).

Weights

Days

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. What is the sample size (n) in this problem? And what is the number of samples (k) in this problem? No explanation needed here.

.B. Calculate the UCL and the LCL for the X-bar chart, using for variations due to natural causes.

.C. Is the process in control or out of control? Justify your answer.

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