Answered: The nutritionist wants to study whether…

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 nutritionist wants to study whether the mean change in triglyceride level of the clients differs among the three meat diets. She then asked your statistical advice considering that you have enough knowledge that using a parametric test specifically the F-test in Analysis of Variance (ANOVA) can answer her objective. Using R Commander, the following results for the test of the assumptions were generated.(a) Will chicken satisfy the normality assumption? Will pork satisfy the normality assumption? Will fish satisfy the normality assumption? (b) describe the skewness of the plot in chicken, fish and pork

R COMMANDER OUTPUT
meat = chicken
meat = fish
meat = pork
320
380
119
03
043
-1
1
-1
1
-1
1
norm quantiles
norm quantiles
norm quantiles
triglyceride
10 20 30 40 50
triglyceride
10 20 30 40 50
triglyceride
10 20
40 50

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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