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 1.2
| Samples | Item 1 | Item 2 | Item 3 | Item 4 | Item 5 |
| 1 | 9 | 10 | 9 | 8 | 12 |
| 2 | 11 | 9 | 10 | 11 | 11 |
| 3 | 13 | 8 | 11 | 11 | 8 |
| 4 | 11 | 11 | 11 | 11 | 10 |
| 5 | 13 | 9 | 9 | 12 | 9 |
| 6 | 10 | 9 | 9 | 13 | 8 |
| 7 | 9 | 11 | 9 | 8 | 8 |
| 8 | 14 | 10 | 8 | 11 | 8 |
| 9 | 8 | 9 | 11 | 13 | 9 |
| 10 | 10 | 11 | 10 | 7 | 11 |
a) Standard deviation of the sampling means? = ____ ounces
?b) With z? = 3? the control limits for the mean chart? are:
UCLx ?=______ounces
LCLx =_____ ounces
c) The control limits for the? R-chart are:
UCLR ?=_______ounces ?
LCLR ?=______ounces ?
?d) Based on the x?-chart, is one or more samples beyond the control? limits? YES or NO
Based on the? R-chart, is one or more samples beyond the control? limits? YES or NO
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