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Name: A researcher believes that the mean earnings of top-paid actors, athle
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Description: A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed th

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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A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed that the population variance for each group is equal and that earnings follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the claim.

Actor	Athlete	Musician
32	48	37
27	53	43
31	43	42
28	38	38
22	47	25
32	42	35
33	46	41
38	33	62
36	33	45
25	46	47
29		35
23		52
14		41
32		37
		46

Round your answers to 4 decimal places properly.

What is the typical or average variation in earnings between different categories? _______
What is the typical or average variation in earnings within different categories? _________

Test Statistic: _______
P-Value: ________

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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