An important factor in selecting software for word-processing and database management system is the time required to learn how to use the system. To evaluate three file management systems, a firm designed a test involving five word-processing operators. Since operator variability was believed to be a significant factor, each of the five operators was trained on each of the three file management systems. The data obtained follow. Operator System ABC11616242191722314131941312185181722 Use α = 0.05, test to see whether there is any difference in the mean training time (in hours) for the three systems.

Given data: Operator A B C 1 16 16 24 2 19 17 22 3 14 13 19 4 13 12 18 5 18 17 22…

Answered: An important factor in selecting…

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 important factor in selecting software for word-processing and database management system is the time required to learn how to use the system. To evaluate three file management systems, a firm designed a test involving five word-processing operators. Since operator variability was believed to be a significant factor, each of the five operators was trained on each of the three file management systems. The data obtained follow.

Operator		System
	A	B	C
1	16	16	24
2	19	17	22
3	14	13	19
4	13	12	18
5	18	17	22

Use α = 0.05, test to see whether there is any difference in the mean training time (in hours) for the three systems.

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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