Question

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 n=139n=139.

According to the Central Limit Theorem:

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

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

(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.

Answer 1