Answered: Conduct a one-factor ANOVA to determine…

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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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
10.75	12.5	8.5
9.75	10.25	12.5
11.5	13	15.25
10.75	14.25	14.5
11.25	10.5	14
10.5	11	15
13.75	12.75	11.75
11.5	12.5	15.75
11.75	12.75	12
13.25	13.75	14
12.75	14.25	12.25

Conduct a one-factor ANOVA to determine if the group means are equal using α=0.01α=0.01.

Group means:
Group 1 mean:
Group 2 mean:
Group 3 mean:

ANOVA summary statistics:
F-test statistic =

p=p=

Conclusion:

The sample data suggests there is a correlation in the starting hourly wages.
There is not sufficient data to conclude that at least one group's average starting hourly wage is different.
The sample data suggests the starting hourly wages are dependent
There is not sufficient data to conclude that there is a correlation in the starting hourly wages.
The sample data suggests at least one group's average starting hourly wage is different.
There is not sufficient data to conclude the starting hourly wages are dependent.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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