Assume that weights of adult females are normally distributed with a mean of77kg and a standard deviation of22kg. What percentage of individual adult females have weights between71kg and83kg? If samples of100adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between71kg and83kg?

Population mean, µ = 77 kg Population standard deviation, σ = 22 kg Let, X be the weights of adult…

Answered: Assume that weights of adult females…

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

100%

Assume that weights of adult females are normally distributed with a mean of

kg and a standard deviation of

kg. What percentage of individual adult females have weights between

kg and

kg? If samples of

100

adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between

kg and

kg?

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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