Answered: Sample size Source of Variation…

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

Information regarding the starting salaries (in $1,000) of samples of students (n = 45) in four different majors (Management, Marketing, Finance, Accounting) is given with an incomplete ANOVA table below.

a. Complete the ANOVA table for this problem including the test statistic.
b Provide an experimental design model (ANOVA model) for this study and define the variables and parameters in the model.
c. Using the critical value approach test to determine whether there is a significant difference in the means of the three populations at 95% confidence. (Give H0 & Ha, test statistic, rejection rule, and conclusion).

Sample size
Source of Variation
Treatment (Major)
Error
Total
Majors
Marketing
10
Management
12
ANOVA table
SS
408
410
818
df
Finance
9
1
MS
1 1
1
1
Accounting
14
F
H

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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