Answered: When 10 men and 10 women were randomly…

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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When 10 men and 10 women were randomly selected, the length of their right foot was measured in centimeters from the back of their heel to the tip of their toe. The results are summarized below. see attache

Estimate the actual difference in the mean right foot length of men and women? Construct the confidence interval estimate under the assumption that the right foot length of both men and women reasonably follow a normal distribution. Express the estimate both symbolically and verbally.

Sample
Length (in cm) of Right Foot
Men
25.6
27.9
28.2
27.5
27.0
26.8
29.1
28.6
25.8
27.4
Women
24.5
22.3
25.2
24.3
25.8
26.1
25.4
25.7
24.3
24.6

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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