**Determining the Sample Size for IQ Tests**An IQ test is designed such that the mean is 100 and the standard deviation is 15 for the population of normal adults. The task is to 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 5 IQ points of the true mean. Given that the standard deviation, \( \sigma \), is 15, the required sample size should be determined using technology. Additionally, evaluate if this sample size is reasonable for practical calculations.**Steps:**1. **Calculate the Required Sample Size**: - Use the formula and round up to the nearest integer.2. **Evaluate Reasonableness of Sample Size**: - Assess if the calculated sample size is practical for real-world scenarios.**Options for Reasonableness**:- Yes. This number of IQ test scores is a fairly small number.- Yes. This number of IQ test scores is a fairly large number.- No. This number of IQ test scores is a fairly large number.- No. This number of IQ test scores is a fairly small number.

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Description: **Determining the Sample Size for IQ Tests**An IQ test is designed such that the mean is 100 and the standard deviation is 15 for the population of normal adults. The task is to find the sample size necessary to estimate the mean IQ score of statist

Given information Standard deviation σ= 15 Confidence interval = 0.99 Significance level(α) = 1- 0.99 = 0.01 n = sample size Error = 5 Margin of error formula is given by

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An IQ test is designed so that the mean is 100 and the standard deviation is 15 for 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 5 IQ points of the true mean. Assume that o = 15 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is. (Round up to the nearest integer.) Would it be reasonable to sample this number students? O Yes. This number of IQ test scores is a fairly small number. O Yes. This number of IQ test scores is a fairly large number. O No. This number of IQ test scores is a fairly large number. O 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 15 for 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 5 IQ points of the true mean. Assume that o = 15 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is. (Round up to the nearest integer.) Would it be reasonable to sample this number students? O Yes. This number of IQ test scores is a fairly small number. O Yes. This number of IQ test scores is a fairly large number. O No. This number of IQ test scores is a fairly large number. O No. This number of IQ test scores is a fairly small number.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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