(a) Construct a 95 % two–sided confidence interval on the population mean diameter of piston rings.

(b) Construct a 99 % two–sided confidence interval on the population mean diameter of piston rings.

(c) Compare the width of the 99% interval with that of the 95% interval.

(d) Suppose it is desired to estimate the ring diameter with an error that is no more than 0.0005 at 95% level. What sample size is required ?

The answer along with the explanation is provided in the attached document.

Explanation:

The explanation is given in attached document file.

With standard ring sizes, every half-size matches up to a 0.4 millimeter increment, starting with size 3 equaling 14 mm, size 3.5 equal to 14.4 mm, size 4 equal to 14.8 mm, and so on. Common ring sizes for women are 6 (16.5 mm), 6.5 (16.9 mm), and 7 (17.3 mm).

Explanation:

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