8. The population mean of height of American men is 67 inches with a standard deviation of 3 inches. We take a random sample of 135 American men. (a) Check if CLT conditions for distribution of means to be normal are met. (b) Find the mean and standard deviation of distribution of means (c) Find probability that in our sample of 135 men, the sample mean of height is more than 67.5 inches.
8. The population mean of height of American men is 67 inches with a standard deviation of 3 inches. We take a random sample of 135 American men. (a) Check if CLT conditions for distribution of means to be normal are met. (b) Find the mean and standard deviation of distribution of means (c) Find probability that in our sample of 135 men, the sample mean of height is more than 67.5 inches.
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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8. The population mean of height of American men js 67 inches with a standard deviation of 3
inches. We take a random sample of 135 American men.
(a) Check if CLT conditions for distribution of means to be normal are met.
(b) Find the mean and standard deviation of distribution of means
(c) Find probability that in our sample of 135 men, the sample mean of height is more than 67.5
inches.
9. Roughly 1% of American women are tall (over 6 ft in height). We take a random sample of 121
women. Find probability that the sample proportion of tall women is higher than 1.4%.
10. In a random sample of 144 women 2 were tall (taller than 6 ft.). Based on our sample determine
whether the claim that "population proportion of tall women is 1%" is true.
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