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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