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

The sample mean is equal to the population mean = 12 cm

The standard deviation of the sample is equal to the standard deviation of the population

= standard deviation / sqrt(n)

= .04/sqrt(16)

= .01

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