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 1.20.
| Samples | |||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 11 | 9 | 13 | 11 | 13 | 10 | 11 | 14 | 7 | 11 |
| 9 | 10 | 8 | 9 | 9 | 10 | 12 | 16 | 9 | 13 |
| 10 | 12 | 9 | 12 | 10 | 8 | 10 | 7 | 12 | 9 |
| 9 | 10 | 10 | 11 | 12 | 11 | 9 | 10 | 12 | 8 |
| 12 | 10 | 8 | 9 | 10 | 10 | 9 | 7 | 9 | 12 |
| Sample Size, n | Mean Factor, A2 | Upper Range, D4 | Lower Range, D3 |
| 2 | 1.880 | 3.268 | 0 |
| 3 | 1.023 | 2.574 | 0 |
| 4 | 0.729 | 2.282 | 0 |
| 5 | 0.577 | 2.115 | 0 |
| 6 | 0.483 | 2.004 | 0 |
| 7 | 0.419 | 1.924 | 0.076 |
| 8 | 0.373 | 1.864 | 0.136 |
| 9 | 0.337 | 1.816 | 0.184 |
| 10 | 0.308 | 1.777 | 0.223 |
| 12 | 0.266 | 1.716 | 0.284 |
standard deviation of the sampling means = ____ ounces ( round response to three decimal places)
With z =3, the control limits for the mean chart are :
UCLx- ____________ ounces (round to three decimal places)
LCLx- ______________ ounces (round to three decimal places)
c) the control limits for the R-chart are:
UCLr= _______________________________ ounces (round tot hree decimal places)
LCLR= ____________________ ounces (round to three decimal places)
Based on the x chart is one or more samples beyond the conrol limits yes/ no
based on the r chart is one or more samples beyond the control limits? yes/ no
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