1. A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was N = 30 (n = 10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports. Refer to Exhibit 1. What are the numerator and denominator degrees of freedom for the F-test? A: for numerator and 26 for denominator. 2. Refer to Exhibit 1. The sum of squared errors is SS Error = 100. What is the value of the Mean Square Error (MS Error)? A: 2.85 3. Refer to Exhibit 1. The sum of squares for between groups is SS Between Groups = 60. What is the Mean Square for between groups (MS Between Groups)? A: 20 4. If the significance level = 0.05, what is the conclusion?Using the a = 0.05 significance level, what is the conclusion? A: The null hypothesis is rejected: the means are significantly different. 5. A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was N = 30 (n = 10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports. Refer to Exhibit 1 Calculate the value of the F statistic, and report the statistic in appropriate APA style. A: I am confused on what they want exactly, I think I got it but I wanted to make sure.

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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1. A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was N = 30 (n = 10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports.

Refer to Exhibit 1. What are the numerator and denominator degrees of freedom for the F-test?

A: for numerator and 26 for denominator.

2. Refer to Exhibit 1. The sum of squared errors is SS Error = 100. What is the value of the Mean Square Error (MS Error)?

A: 2.85

3. Refer to Exhibit 1. The sum of squares for between groups is SS Between Groups = 60. What is the Mean Square for between groups (MS Between Groups)?

A: 20

4. If the significance level = 0.05, what is the conclusion?Using the a = 0.05 significance level, what is the conclusion?

A: The null hypothesis is rejected: the means are significantly different.

5. A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was N = 30 (n = 10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports.

Refer to Exhibit 1
Calculate the value of the F statistic, and report the statistic in appropriate APA style.

A: I am confused on what they want exactly, I think I got it but I wanted to make sure.

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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