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 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?

Answer #1

Question is answered below.

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