The inside diameter of a randomly selected piston ring is a random variable with ean value 12 cm and standard deviation .04 cm. If X is the sample mean diameter for a random sample of n= 16 rings, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution? Answer the questions posed in part (a) for a sample size of n = 64 rings. For which of the two random samples, the one of part (a) or the one of part (b), is X more likely to be within .01 cm of 12 cm? Explain your reasoning.

The inside diameter of a randomly selected piston ring is a random variable with ean value 12 cm and standard deviation .04 cm. If X is the sample mean diameter for a random sample of n= 16 rings, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution? Answer the questions posed in part (a) for a sample size of n = 64 rings. For which of the two random samples, the one of part (a) or the one of part (b), is X more likely to be within .01 cm of 12 cm? Explain your reasoning.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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