**Title: Determining Sample Size for Estimating Mean IQ Scores****Introduction:**An IQ test is designed such that the mean is 100 and the standard deviation is 12 for the population of normal adults. This task involves finding the sample size necessary to estimate the mean IQ score of statistics students with 99% confidence that the sample mean is within 7 IQ points of the true mean. Given that the population standard deviation (σ) is 12, use appropriate technology to calculate the required sample size. Determine if this sample size is reasonable for real-world application.**Task:**1. **Calculate the Required Sample Size:** - Formula: \[\text{Sample size} = \left(\frac{Z \times \sigma}{E}\right)^2\] - Where \(Z\) is the Z-score corresponding to the required confidence level (99%), \(\sigma\) is the standard deviation (12), and \(E\) is the desired margin of error (7).2. **Assessment:** - Indicate whether the calculated sample size is a reasonable number of students to sample.**Options:**- 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.**Instructions:**- Enter the required sample size in the provided field, rounding up to the nearest integer.- Assess the reasonableness of the sample size by selecting the appropriate option.

Givenstandard deviation(σ)=12Marign of error(E)=7c=99%α=1-0.99=0.01α2=0.005zα2=z0.005=2.5758 (from…

Answered: An IQ test is designed so that the mean…

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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