Answered: The following data are from a study…

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 data are from a study comparing three groups of college students. The information below are scores from the Hopkins Verbal Learning test

Group	Soccer Athletes	Nonsoccer Athletes	Comparison Group
Sample Size	86	95	53
Sample mean score	29.9	30.94	29.32
sample standard deviation	3.73	5.14	3.78

A)Suppose that it is reasonable to regard these three samples as random samples from the three student populations of intrest. Is there suffiecient evidence to conclude that the mean Hopkins score is not the same for the three student populations? use =0.05

B) Use the Tukey-Cramer multiple comparison procedure to create an underscore diagram of the three populations.

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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