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 (2 kg). On each of the 5 working days, last week, he randomly selected four packages and weighed each. The data from that activity appears below.

Question: Calculate the UCL and the LCL for the X-bar chart, using for natural variations.

Package Weights

Day

Package 1

Package 2

Package 3

Package 4

Monday

20

22

24

22

Tuesday

23

21

19

21

Wednesday

20

19

20

21

Thursday

18

19

20

19

Friday

19

21

23

21

  1. UCL = 41.5; LCL = 39.7
  2. UCL = 22.6; LCL = 18.6
  3. UCL = 11.6; LCL = 19.1
  4. UCL = 31.2; LCL = 29.4
  5. UCL = 23.6; LCL = 17.6

Based on the information in the previous SPC question (# 5), is this process in control or out of control?

  1. Process is in control
  2. Process is out of control
  3. This analysis should have used a p-chart
  4. Not enough information given to answer this question
  5. All of the above

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