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# for a Finite Population In a study of babies born with

ISBN: 9780321836960 18

## Solution for problem 23BSC Chapter 6.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition

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Problem 23BSC

for a Finite Population 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 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 be corrected by using the finite population correction factor? Why or why not? What is the value of b. Find the probability that the mean IQ score of the follow-up sample is between 95 and 105.

Step-by-Step Solution:

Answer: Step 1 a) We are given, 275 children were given IQ tests at age 8, and their scores approximated a normal distribution with = 95.5 and = 16.0. When considering the distribution of the mean IQ scores for samples of 50 children, should xe corrected by using the finite population correction factor Since it is Simple Random Sampling without replacement for sample of 50 children i.e., sample size n = 50 and population size N = 275, The value of xs N n x N 1 = 16 275 50 50 275 1 = 2.2627 ×0.9061 = 2.0502 Therefore, the value of xis 2.0502

Step 2 of 2

##### ISBN: 9780321836960

The answer to “for a Finite Population 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 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 be corrected by using the finite population correction factor? Why or why not? What is the value of b. Find the probability that the mean IQ score of the follow-up sample is between 95 and 105.” is broken down into a number of easy to follow steps, and 137 words. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 23BSC from 6.5 chapter was answered, more than 337 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The full step-by-step solution to problem: 23BSC from chapter: 6.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This full solution covers the following key subjects: Children, distribution, study, scores, population. This expansive textbook survival guide covers 121 chapters, and 3629 solutions.

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