Producing machine bearings. To determine whether a metal lathe that produces machine bearings is properly ad- justed, a random sample of 25 bearings is collected and the diameter of each is measured. a. If the standard deviation of the diameters of the bear- ings measured over a long period of time is .001 inch, what is the approximate probability that the mean di- ameter of the sample of 25 bearings will lie within .0001 inch of the population mean diameter of the bearings? b. If the population of diameters has an extremely skewed distribution, how will your approximation in part a be affected?

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Can you answer 6.84? 

Applying the Concepts-Intermediate
6.84 Producing machine bearings. To determine whether a
metal lathe that produces machine bearings is properly ad-
justed, a random sample of 25 bearings is collected and the
diameter of each is measured.
a. If the standard deviation of the diameters of the bear-
ings measured over a long period of time is .001 inch,
what is the approximate probability that the mean di-
ameter of the sample of 25 bearings will lie within
.0001 inch of the population mean diameter of the
bearings?
b. If the population of diameters has an extremely skewed
distribution, how will your approximation in part a be
affected?
Transcribed Image Text:Applying the Concepts-Intermediate 6.84 Producing machine bearings. To determine whether a metal lathe that produces machine bearings is properly ad- justed, a random sample of 25 bearings is collected and the diameter of each is measured. a. If the standard deviation of the diameters of the bear- ings measured over a long period of time is .001 inch, what is the approximate probability that the mean di- ameter of the sample of 25 bearings will lie within .0001 inch of the population mean diameter of the bearings? b. If the population of diameters has an extremely skewed distribution, how will your approximation in part a be affected?
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