Question: A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that when the process is

A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that when the process is operating as intended, packaging weight is normally distributed with a mean of twenty ounces, and a process standard deviation of 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

(a) If he sets an upper control limit of 21 and a lower control limit of 19 around the target value of twenty ounces, the control chart is based on what value of z?

(b) With the UCL and LCL of part a, what do you conclude about this processis it in control?

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