The table below lists adult weights of individuals who are on three separate treatment programs (Treatment A, B, and C) to help reduce weight. Obs. 1Obs. 2Obs. 3Obs. 4Obs. 5Obs. 6Obs. 7Obs. 8Treatment A (weights)160155163152148150147 Treatment B (weights)179174169159166180177180Treatment C (weights)150155153156140167 nMeanStd. DeviationTreatment A7153.57146.0788Treatment B8173.00007.6718Treatment C6153.50008.7807Total21160.952412.0311The weights of individuals in each treatment program are listed on the top most table. For your convenience, the number of observations (n), mean, and standard deviation of each treatment program is listed in the bottom most table. Knowledge of calculating n, mean and standard deviation is expected and thus is provided (these may or may not be provided on exams). What is the mean square between?

To calculate the mean square between, we need to first calculate the sum of squares between…

Answered: The table below lists adult weights of…

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 table below lists adult weights of individuals who are on three separate treatment programs (Treatment A, B, and C) to help reduce weight.

	Obs. 1	Obs. 2	Obs. 3	Obs. 4	Obs. 5	Obs. 6	Obs. 7	Obs. 8
Treatment A (weights)	160	155	163	152	148	150	147
Treatment B (weights)	179	174	169	159	166	180	177	180
Treatment C (weights)	150	155	153	156	140	167

	n	Mean	Std. Deviation
Treatment A	7	153.5714	6.0788
Treatment B	8	173.0000	7.6718
Treatment C	6	153.5000	8.7807
Total	21	160.9524	12.0311

The weights of individuals in each treatment program are listed on the top most table. For your convenience, the number of observations (n), mean, and standard deviation of each treatment program is listed in the bottom most table. Knowledge of calculating n, mean and standard deviation is expected and thus is provided (these may or may not be provided on exams).

What is the mean square between?

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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