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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