This question is a continuation of question #3. What is the probability that a sample mean calculated from a sample of 36 individuals from the Florida subdivision will have an average age between 64 and 66 years of age. As in question #3, the mean age of the population is 65 years of age, and the standard deviation is 2 years. For this problem, be sure to use the z-calculation that is for sample means, and includes the sample size: A) What is the probability that a randomly chosen individual would be less than 64.5 years of age? Show how you standardized the problem. B) If I remove the “normality statement” from the question (ie, if I assume we do not know the probability distribution of the underlying population) does this matter in completing this question? In other words, is the normality of the “underlying population” a necessary condition for completing this problem? Answer “yes” or “no”, and then in a single sentence, state why.

1. Given that: Population mean, μ=65 Population standard deviation, σ=2 Sample size, n=36

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6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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This question is a continuation of question #3. What is the probability that a sample mean calculated from a sample of 36 individuals from the Florida subdivision will have an average age between 64 and 66 years of age. As in question #3, the mean age of the population is 65 years of age, and the standard deviation is 2 years. For this problem, be sure to use the z-calculation that is for sample means, and includes the sample size: A) What is the probability that a randomly chosen individual would be less than 64.5 years of age? Show how you standardized the problem. B) If I remove the “normality statement” from the question (ie, if I assume we do not know the probability distribution of the underlying population) does this matter in completing this question? In other words, is the normality of the “underlying population” a necessary condition for completing this problem? Answer “yes” or “no”, and then in a single sentence, state why.

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