A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally

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A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ = 0.001 millimeters. A random sample of 15 rings has a mean diameter of millimeters.
(a) Construct a 99% two-sided confidence interval on the mean piston ring diameter.
(b) Construct a 95% lower-confidence bound on the mean piston ring diameter.
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