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 12 cm and standard deviation 0.04 cm. What are the expected value of the sample mean and the standard deviation of the sample mean for a random sample of n = 16 rings? The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation 0.04 cm. What are the expected value of the sample mean and the standard deviation of the sample mean for a random sample of n = 16 rings?

Explanation / Answer

mean 12 sd 0.04 when n= 16 E(Xbar) = E(x) = 12 sd(Xbar) = sd(x)/sqrt(n) =0.04/SQRT(16) 0.01

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