In a large population of adults, the mean IQ is 110 with a standard deviation of 19. Suppose 45 adults are randomly selected for a market research campaign. (Round to 2decimal places for all z-values and round all other answers to 4 decimal places, if needed.)(a) The distribution of IQ is approximately normal(b) The distribution of the sample mean IQ is approximately normal(c) The probability that the sample mean IQ is less than 109 is 0.3632(d) The probability that the sample mean IQ is greater than 109 is(e) The probability that the sample mean IQ is between 109 and 113 iswith a mean of 110and a standard deviation of 2.8324

Given,sample size(n)=45mean(μ)=110standard deviation(σ)=19

Answered: In a large population of adults, the…

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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A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean ? = 81 and standard deviation ? = 26. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) (a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 125 (borderline diabetes starts at 125)
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