a population of value has distribution with μ=52 and σ=90.7 You intend to draw a random sample of size n=111. According to the Central Limit Theorem, a. What is the mean of the distribution of sample...

a population of value has distribution with μ=52 and σ=90.7 You intend to draw a random
sample of size n=111. 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=111, what is the probability that its sample mean is more than 61.5?
Round to three decimal places.
d. In a random sample of n=111, what is the probability that its sample mean is less than 51.6? Give
your answer to three decimal places.