A population of values has a distribution with μ=113.3μ=113.3
and σ=68.6σ=68.6. You intend to draw a random sample of size
According to the Central Limit Theorem:
(a) What is the mean of the distribution of sample means?
(b) What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
(c) In a random sample of n=139, what is the probability that its random sample mean is more than 119.7? Round to three decimal places.
(d) In a random sample of n=139, what is the probability that its random sample mean is less than 116.2? Give your answer to three decimal places.
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