An IQ test is designed so that the mean is 100 and the standard deviation is 17for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 4 IQ points of the true mean. Assume that σ=17 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. Part 1 The required sample size is. (enter your response here. )(Round up to the nearest integer.) Part 2 Would it be reasonable to sample this number of students? Yes. This number of IQ test scores is a fairly large number. No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly small number.

An IQ test is designed so that the mean is 100 and the standard deviation is 17for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 4 IQ points of the true mean. Assume that σ=17 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. Part 1 The required sample size is. (enter your response here. )(Round up to the nearest integer.) Part 2 Would it be reasonable to sample this number of students? Yes. This number of IQ test scores is a fairly large number. No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly small number.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Part 2

Would it be reasonable to sample this number of students?

Yes. This number of IQ test scores is a fairly large number.

No. This number of IQ test scores is a fairly large number.

Yes. This number of IQ test scores is a fairly small number.

No. This number of IQ test scores is a fairly small number.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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