A population of values has a distribution with μ=127.7μ=127.7 and σ=10σ=10. You intend to draw a random sample of size n=103n=103. According to the Central Limit Theorem: (a) What is the mean of the...

A population of values has a distribution with μ=127.7μ=127.7 and σ=10σ=10. You intend to draw a random sample of size n=103n=103.


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=103, what is the probability that its sample mean is more than 128.7? Round to three decimal places.






(d) In a random sample of n=103, what is the probability that its sample mean is less than 128.5? Give your answer to three decimal places.