# help with statistics problem

Anonymous

Question description

Recently, it was reported that a baby born in 2014 is expected to live to a mean age of 79 years. If the standard deviation for this population is 10 year, use the Central Limit Theorem to answer questions about sampling distribution of the mean formed by taking from the population of babies born is 2014, all possible random samples of size 100.

A) Find μx̄

B) Determine σx̅

C) Can this sampling distribution of the mean be approximated by a normal distribution

D) IF the population of life expectancies for those born in 2014 is approximately normal, what is the probability that a baby born in 2014 will live to: Atleast 78? At leave age 82?

E) If a random sample of 100 babies born in 2014 were selected, what is the probability that these babies will live to at least a mean age of 78? To at least a mean age of 82?

F) why are the answers to parts (d) and (e) different?

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