Question: HELP WITH C A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of
HELP WITH C
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
1.64.
| Samples | |||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 10 | 14 | 14 | 9 | 12 | 11 | 9 | 14 | 7 | 9 |
| 9 | 12 | 8 | 9 | 9 | 11 | 12 | 10 | 8 | 13 |
| 9 | 13 | 10 | 12 | 9 | 7 | 9 | 7 | 12 | 10 |
| 10 | 14 | 10 | 11 | 10 | 13 | 8 | 11 | 11 | 9 |
| 12 | 11 | 9 | 11 | 10 | 8 | 8 | 9 | 9 | 13 |
Part 2
a) Standard deviation of the sampling means =
. 735.735
ounces (round your response to three decimal places).
Part 3
b) With z =
3,
the control limits for the mean chart are:
UCLx
=
12.49912.499
ounces (round your response to three decimal places).
Part 4
LCLx
=
8.1788.178
ounces (round your response to three decimal places).
Part 5
c) The control limits for the R-chart are:
UCLR
=
| 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 |
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