KAssume that the sample is a simple random sample obtained from a normally distributed population of IQ scores f statistics professors. Use the table below to find the minimum sample size neededto be 95% confident that the sample standard deviation s is within 20% of o. Is this sample size practical?To be 95% confident that s iswithinof the value of a, the sample sizeIn should be at least65To be 99% confident that s iswithinof the value of Go, the sample sizeIn should be at leastThe minimum sample size needed is.1% 5% 10% 20% 30% 40% 50%19,205 768 192 4821 121% 5% 10% 20% 30% 40% 50%33,218 1,336 336885 38 22 14

It is given that Level of confidence = 95% s is within 20% of population SD.

Answered: Assume that the sample is a simple…

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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An IQ test is designed so that the mean is 100 and the standard deviation is 17 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 90% confidence that the sample mean is within 6 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
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Use the data in the Excel workbook, on the worksheet labeled "Sample," for this question. The first column is just an observation index labeled i to name each observation. The observations are a simple random sample with replacement from a much larger population. The second column contains specific values y of a random variable Y found in some sampled population. The population standard deviation is not known to you, but it is known that Y has a Normal distribution in the sampled population. Compute the lower bound of an 85% confidence interval for the population mean of the random variable Y. i y 1 37 2 40 3 31 4 27 5 23 6 33 7 29 8 26 9 39 10 28 11 34 12 39 13 31 14 34 15 39 16 33 17 31 18 42
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