Question: A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n =
A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n = 5) taken. The population process standard deviation, is 1.36.
Samples:
| Sample 1 | Sample 2 | Sample 3 | Sample 4 | Sample 5 | Sample 6 | Sample 7 | Sample 8 | Sample 9 | Sample 10 |
| 10 | 9 | 13 | 10 | 12 | 10 | 10 | 13 | 8 | 10 |
| 9 | 9 | 9 | 10 | 10 | 10 | 11 | 10 | 8 | 12 |
| 10 | 11 | 10 | 11 | 9 | 8 | 10 | 8 | 12 | 9 |
| 9 | 11 | 10 | 10 | 11 | 12 | 8 | 10 | 12 | 8 |
| 12 | 10 | 9 | 10 | 10 | 9 | 9 | 8 | 9 | 12 |
a. What is x? [ Select ] [".76", ".61", "1.36", "1.27"]
b. If z = 3, what are the control limits for the mean chart? [ Select ] ["11.51 and 8.56", "11.83 and 8.17", "12.56 and 9.67", "11.34 and 8.17"]
c. What are the control limits for the range chart? [ Select ] ["7.45 and 0", "8.78 and .07", "6.96 and -.008", "6.98 and 0"]
d. Is the process in control? [ Select ] ["only 1 data point is out of control, so it is still acceptable", "yes", "cannot determine from the data", "no - sample 3 and 8 are out of control"]
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