6.85 Quality control. The mean diameter of the bearings produced by the machine is supposed to be .5 inch. The company decides to use the sample mean to decide whether the process is in control (i.e., whether it is producing bearings with a mean diameter of .5 inch). The machine will be consid- ered out of control if the mean of the sample of n = 25 diameters is less than .4994 inch or larger than .5006 inch. If the true mean diameter of the bearings pro- duced by the machine is .501 inch, what is the approxi- mate probability that the test will imply that the process is out of control? use sigma=0.001

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6.85 Quality control.
The mean
diameter of the bearings produced by the machine is
supposed to be .5 inch. The company decides to use
the sample mean to decide whether the process is in
control (i.e., whether it is producing bearings with a
mean diameter of .5 inch). The machine will be consid-
ered out of control if the mean of the sample of n = 25
diameters is less than .4994 inch or larger than .5006
inch. If the true mean diameter of the bearings pro-
duced by the machine is .501 inch, what is the approxi-
mate probability that the test will imply that the process
is out of control?
use sigma=0.001
Transcribed Image Text:6.85 Quality control. The mean diameter of the bearings produced by the machine is supposed to be .5 inch. The company decides to use the sample mean to decide whether the process is in control (i.e., whether it is producing bearings with a mean diameter of .5 inch). The machine will be consid- ered out of control if the mean of the sample of n = 25 diameters is less than .4994 inch or larger than .5006 inch. If the true mean diameter of the bearings pro- duced by the machine is .501 inch, what is the approxi- mate probability that the test will imply that the process is out of control? use sigma=0.001
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