Answered: An employer asserts that it is…

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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An employer asserts that it is justifiable to pay female employees more than male employees on the grounds that they are more productive. Suppose that the population hourly outputs of male and female employees are normally distributed but assumed to have non-constant variances. To determine if there is evidence to support the claim of the employer, data on hourly outputs of random samples of 15 female and 15 male employees were collected and shown below.

Female	349	353	349	336	342
	353	357	347	357	348
	354	346	345	359	340
Male	304	343	344	313	340
	319	348	338	339	351
	345	369	360	326	340

a. Can the employer's assertion be substantiated at 5% level of significance?

b. Perform another test this time at 1% level of significance and compare the result in (a). Explain.

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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