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The diameter of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.225 inches. The diameter is known to have a standard deviation of 0.0001 inches. A random sample of 10 shafts has an average diameter of 0.2545 inches.

a) Construct a 99% confidence interval of the true mean

b) Determine the minimum error

c) How large a sample is required if we want to be 99% confident that our estimate of "μ" is off by less than 0.05? Is the sample size in part a) adequate?

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Category:- Statistics and Probability
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