Sarnple mean diameter for a random sample


The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation 0.4 cm. Let X is the sarnple mean diameter for a random sample of n:64 rings.

(a) Find the sampling distribution of. X. Specify the parameters.

(b) Find the probability of P(11.99 < X < 12.01)

(c) Find the probability of P( lX - 12| < 0.05)

(d) Find the 95th percentile of X.

X = X with the line over it

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Basic Statistics: Sarnple mean diameter for a random sample
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