Answered: The following three independent random…

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

The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study).

Group 1: Internship	Group 2: Co-op	Group 3: Work Study
10.5	10.5	11.5
11.75	10.25	9
8.25	12	10.5
10.75	15.75	10.25
10.5	11.25	11.25
12.5	15.5	12
9	10.5	10

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Use your statistical software package to conduct a one-factor ANOVA to determine if the group means are equal using α=0.02α=0.02. Though not specifically assessed here, you are encouraged to also test the assumptions, plot the group means, and interpret the results.

Group means (report to 2 decimal places):
Group 1: Internship:
Group 2: Co-op:
Group 3: Work Study:

ANOVA summary statistics:
F-ratio =
(report accurate to 3 decimal places)
p=p=
(report accurate to 4 decimal places)

Conclusion:

The sample data suggest the average starting hourly wages are not the same.
There is not sufficient data to conclude the starting wages are different for the different groups.

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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