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
|
- UCL = 41.5; LCL = 39.7
- UCL = 22.6; LCL = 18.6
- UCL = 11.6; LCL = 19.1
- UCL = 31.2; LCL = 29.4
- 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?
- Process is in control
- Process is out of control
- This analysis should have used a p-chart
- Not enough information given to answer this question
- All of the above
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