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The inside diameter of a randomly selected piston ring is a random variable, with mean value 12cm and standard deviation 0.04cm. (i) if µ is the sample mean diameter for a random sample of n=16 ring , then obtain the mean and standard deviation of µ. (ii)if the sample size is n=64 rings, then the mean and standard deviation of x. (iii)obtain P[ /µ-2\ ≤ .01] when n=16 and p[/µ-12˂.01] when n=64. Comment on the result.
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