The height of women ages 20-29 is normally distributed, with a mean of63.9inches. Assumeσ=2.9inches. Are you more likely to randomly select 1 woman with a height less than65.1inches or are you more likely to select a sample of27women with a mean height less than65.1inches? Explain.What is the probability of randomly selecting 1 woman with a height less than65.1inches? _____(Round to four decimal places as needed.)

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Answered: The height of women ages 20-29 is…

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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Question

The height of women ages 20-29 is normally distributed, with a mean of

63.9

inches. Assume

σ=2.9

inches. Are you more likely to randomly select 1 woman with a height less than

65.1

inches or are you more likely to select a sample of

women with a mean height less than

65.1

inches? Explain.

What is the probability of randomly selecting 1 woman with a height less than

65.1

inches? _____

(Round to four decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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