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A random sample of 100 observations is drawn from a population with a mean equal to...

A random sample of 100 observations is drawn from a population with a mean equal to 20 and standard deviation equal to 16. Let Xbar denote the sample mean.

(a) Find the mean and standard deviation of the sampling distribution of Xbar

(b) Describe the shape of the sampling distribution of Xbar. Does your answer depend on the sample size?

(c) Find P(Xbar <16). P(Xbar >23). P(16< Xbar <23).

Thank You!

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