Question

A population of values has a distribution with μ=82.4μ=82.4 and σ=23.7σ=23.7. You intend to draw a...

A population of values has a distribution with μ=82.4μ=82.4 and σ=23.7σ=23.7. You intend to draw a random sample of size n=167n=167.

According to the Central Limit Theorem:

(a) What is the mean of the distribution of sample means?
μ¯x=

(b) What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
σ¯x=

(c) In a random sample of n=167, what is the probability that its random sample mean is more than 83.9? Round to three decimal places.



(d) In a random sample of n=167, what is the probability that its random sample mean is less than 82.3?

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