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 2 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 | 20 |
| Tuesday | 23 | 21 | 19 | 21 |
| Wednesday | 20 | 22 | 20 | 21 |
| Thursday | 18 | 19 | 20 | 17 |
| Friday | 18 | 20 | 22 | 22 |
(a) Calculate the mean of all sample means.
(b) Calculate upper and lower control limits that include 99% of the sample means.
(c) Based on the x-bar chart, is this process in control?
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