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
1.64.
| Samples | |||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 10 | 11 | 12 | 11 | 13 | 11 | 11 | 12 | 9 | 9 |
| 8 | 9 | 10 | 11 | 10 | 11 | 12 | 9 | 7 | 13 |
| 11 | 11 | 9 | 11 | 9 | 9 | 11 | 7 | 13 | 8 |
| 10 | 10 | 10 | 10 | 11 | 11 | 8 | 11 | 12 | 8 |
| 12 | 9 | 10 | 10 | 9 | 9 | 10 | 7 | 10 | 11 |
a) Standard deviation of the sampling means =
. 7335.7335
ounces (round your response to three decimal places).
b) With z =
3,
the control limits for the mean chart are:
UCLx
=
nothing
ounces (round your response to three decimal places)
Standard deviation of the sampling means =
nothing
ounces (round your response to three decimalplaces).b) With z =
3,
the control limits for the mean chartare:
UCL Subscript x overbarUCLx
=
nothing
ounces (round your response to three decimalplaces).
LCL Subscript x overbarLCLx
=
nothing
ounces (round your response to three decimalplaces).
c) The control limits for the R-chart are:
UCL Subscript Upper RUCLR
=
nothing
ounces (round your response to three decimalplaces).
LCL Subscript Upper RLCLR
=
nothing
ounces (round your response to three decimalplaces).d) Based on the
x overbarx-chart,
is one or more samples beyond the control limits?
Yes
No
.Based on the R-chart, is one or more samples beyond the control limits?
Yes
No
.
Enter your answer in each of the answer boxes.
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