Answered: Q1. Assume that weights of men are…

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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Q1. Assume that weights of men are normally distributed with a mean of 172 lb and a
standard deviation of 29 lb.
Use a Table A-2 and TI 84 to find the answer of each part. Draw a density curve for each.
a) Find the weights that separated the bottom 5% and the top 5% of the men.
b) Find the weights that separated the bottom 70% from the top 30% of the men.
c) Find the probability that if an individual man is randomly selected, his weight will be
greater than 200 lb. Find the z score for 200 lb.
d) Find the probability that 49 randomly selected men will have a mean weight that is less
than 175 lb. Find the z score for 175 lb.

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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