In a study of babies born with very low birth weights, 275 children were given IQ tests at age 8, and their scores approximated a normal distribution with 95 5 and 16 0 (based on data from Neurobehavioral Outcomes of School age Children Born Extremely Low Birth Weight or Very Preterm, by Anderson e...

a Yes The sampling is without replacemen ...

In a study of babies born with very low birth weights, 275 children were given IQ tests

Question:

In a study of babies born with very low birth weights, 275 children were given IQ tests at age 8, and their scores approximated a normal distribution with µ = 95.5 and σ = 16.0 (based on data from “Neurobehavioral Outcomes of School-age Children Born Extremely Low Birth Weight or Very Preterm,” by Anderson et al., Journal of the American Medical Association, Vol. 289, No. 24). Fifty of those children are to be randomly selected for a follow-up study.

a. When considering the distribution of the mean IQ scores for samples of 50 children, should σx be corrected by using the finite population correction factor? Why or why not? What is the value of σx?

b. Find the probability that the mean IQ score of the follow-up sample is between 95 and 105.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...