Answered: QUESTION 5 Two different hardening…

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 5
Two different hardening processes, namely saltwater quenching and oil quenching are used on
samples of a particular type of metal alloy. The hardness (in N/mn2
) results are shown in Table 4.
Assume that hardness is normally distributed. Calculate the 98% confidence interval for the ratio
of two population variances for two different hardening processes saltwater quenching and oil
quenching. Interpret the result.

Table 4
Saltwater Quenching Oil Quenching
145 152
150 150
153 147
148 155
141 140
152 146
146 158
154 152
139 151
148 143

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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