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Ex. 46. The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation .04 cm. a. If ?̅ is the sample mean diameter for a random sample of n= 16 rings, where is the sampling distribution of ?̅ cent

Ex. 46.

The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation .04 cm.

a. If ?̅ is the sample mean diameter for a random sample of n= 16 rings, where is the sampling distribution of ?̅ centered, and what is the standard deviation of the ?̅ distribution?

b. Answer the questions posed in part (a) for a sample size of n = 64 rings.

c. For which of the two random samples, the one of part (a) or the one of part (b), is ?̅ more likely to be within .01 cm of 12 cm? Explain your reasoning.


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S olution! Given thett (a Mean X12 Sahdnderd devition s 0.01a: 0.1 0-616 O 0 O.0 6-8413_0-1587 0.6B26 PC 11 .qq x s l2.01) =0 6826 probabr Lity = 0.6826

answered by: ANURANJAN SARSAM
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Ex. 46. The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation .04 cm. a. If ?̅ is the sample mean diameter for a random sample of n= 16 rings, where is the sampling distribution of ?̅ cent
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