An automatic filling machine is used to fill 1-liter bottles of
cola. The machine’s output is approximately normal with a mean of
0.95 liter and a standard deviation of 0.05 liter. Output is
monitored using means of samples of 28 observations. Use
Table-A.
a.Determine upper and lower control limits that will
include roughly 97 percent of the sample means when the process is
in control.(Do
not round intermediate calculations. Round z value to 2 decimal
places. Round your answers to 4 decimal
places.)
Upper control limits: | liter |
Lower control limits: | liter |
|
b.Given these sample means: 1.005, 1.001, .998, 1.002,
.995, and .999, is the process in control?
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