USING EXCEL (Provide EXCEL screenshots) Thank you!Suppose a researcher is interested in the effect of three different diet and exercise management programs on reducing BMI (kg/m2) in young adults. Assume the following table identifies the summary statistics for the three groups.Exercise Program IExercise Program IIControl Group23.422.329.122.127.828.926.726.927.624.329.226.422.1 23.4 27.6 28.9A) Which assumptions should be made before proceeding with a one-way analysis of variance procedure?B) Calculate the Mean Squares Between and Mean Squares Within variances.C) Calculate an F statistic.D) Write out your null and alternative hypotheses for a one-way analysis of variance.E) Perform a one-way analysis of variance procedure to determine if there is a significant difference in mean BMI among the groups.

A) Assumptions The populations from which the samples were obtained must be normally or…

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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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Suppose a researcher is interested in the effect of three different diet and exercise management programs on reducing BMI (kg/m²) in young adults. Assume the following table identifies the summary statistics for the three groups.

Exercise Program I	Exercise Program II	Control Group
23.4	22.3	29.1
22.1	27.8	28.9
26.7	26.9	27.6
24.3	29.2	26.4
22.1		23.4
		27.6
		28.9

A) Which assumptions should be made before proceeding with a one-way analysis of variance procedure?
B) Calculate the Mean Squares Between and Mean Squares Within variances.
C) Calculate an F statistic.
D) Write out your null and alternative hypotheses for a one-way analysis of variance.
E) Perform a one-way analysis of variance procedure to determine if there is a significant difference in mean BMI among the groups.

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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