Answered: Experiment 2: Shoe sizes are collected…

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

Experiment 2:

Shoe sizes are collected from a random sample of 8 fathers and their adult sons to determine if the mean shoe size for fathers is significantly smaller than the average shoe size of the sons. It can be assumed that the shoes sizes of both the fathers and the sons are normally distributed.

Is the sample independent or dependent? What is the null and alternative hypothesis?

H₀:

Ha:

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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