Answered: 3) The upper leg length of 20- to 29-…

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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3) The upper leg length of 20- to 29- year old males is normally distributed with a mean length of 43.7 cm and a standard deviation of 4.2 cm.
(3a) What is the probability that a randomly selected 20- to 29- year old male has an upper leg length that is less than 40 cm?
(3b) While solving part a, you used a z-score. Describe what you are looking up on Table V at the left & top to find the middle value. You are welcome to use the notation from class that we have used in our notes to show this table location process.
(3c) Fill in the result of the work that you have found appropriately into the statement: If we select a simple random sample of n = 100 males ages 20-29, then about ________ of the males would have an upper leg length that is less than 40 cm.

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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