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Correcting for a Finite Population In a study of babies

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 23BB Chapter 6.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 23BB

Correcting 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 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  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:
Step 1 of 3

Solution 23BB

When considering the distribution of the mean IQ scores for samples of 50 children, there should  be corrected by using the finite population correction factor because the sample is without replacement...
Step 2 of 3

Chapter 6.5, Problem 23BB is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The full step-by-step solution to problem: 23BB 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. Since the solution to 23BB from 6.5 chapter was answered, more than 270 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The answer to “Correcting 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 135 words.

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