Posted by **Lance** on Thursday, July 25, 2013 at 7:56pm.

The inside diameter of the automobile wheel bearing sets at a factory is expected to be normally distributed with a mean of 1.30inches and a standard deviation of 0.04 inches.

What is the probability that a randomly selected wheel bearing will have an inside diameter of,

a) between 1.28 and 1.30 inches?

b) between 1.31 and 1.33 inches?

c) between what two values (in terms of inside diameter) will 60% of the wheel bearings fall?

If 16 random samples of 16 wheel bearings were selected,

d) what proportion of the sample means would be between 1.31 and 1.33 inches?

e) compare your results in B and D

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