The inside diameter of a randomly selected piston ring is a random variable with

Question

The inside diameter of a randomly selected piston ring is a random variable with mean value 15 cm anr1 standard deviation 0.07 cm. (a) 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 d deviation of the x distribution? (Enter your standard deviation to five decimal places.) (b) Answer the questions posed in pail (a) for a sample size of n = 64 rings. (Enter your standard deviation to five decimal places.)

Explanation / Answer

center for both cases will be 15

a) standard deviation is 0.07/sqrt(16)=0.0175

b) standard deviation is 0.07/sqrt(64)=0.00875

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