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Name: An instructor in an economics class is considering three different tex
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Description: An instructor in an economics class is considering three different texts. He is also considering three types of examinations—multiple choice, essay, and a mix of multiple choice and essay questions. During the year he teaches nine sections of the cou

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 instructor in an economics class is considering three different texts. He is also considering three types of examinations—multiple choice, essay, and a mix of multiple choice and essay questions. During the year he teaches nine sections of the course and randomly assigns a text–examination type combination of each section. At the end of the course he obtained students’ evaluations for each section. These ratings are shown in the accompanying table.

Text

Examination

Multiple choice

Essays

Mix

4.8

4.6

5.3

5.0

5.1

4.9

4.3

4.8

a. Prepare the analysis of variance table.
b. Test the null hypothesis of equality of population mean ratings for the three texts.
c. Test the null hypothesis of equality of population mean ratings for the three examination types.

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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