Answered: Perform an appropriate statistical test…

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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Question

INSTRUCTION: Perform an appropriate statistical test using the dataset (Sheet name: Cholesterol) if a researcher would like to determine if there is a significant difference in the "Cholesterol" level before ("Pre") and after ("Post") the treatment or therapy? Dataset for this can be retrieved on the given Excel.

1. What is the computed p-value for the given data on the "Cholesterol" level before ("Pre") and after ("Post") the treatment or therapy? Round it off to two decimal places. Then, answer (YES or NO) if there is a significant difference in the "Cholesterol" level before ("Pre") and after ("Post") the treatment or therapy?

2. What is the computed Mean of "Post" on the given data for Cholesterol? Round it off to two decimal places.

3. What is the computed Standard Deviation of "Pre" on the given data for Cholesterol? Round it off to two decimal places.

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A
Cholesterol1
(Pre)
7.29
8.43
5.43
6.96
6.65
8.2
5.92
7.92
8.34
5.34
6.69
6.56
5.29
7.43
5.43
6.43
7.43
6.96
7.2
7.43
Raw Data
B
Cholesterol2
(Post)
8.04
7.96
5.77
6.23
6.26
6.21
5.92
8.4
7.69
5.77
6.32
6.62
5.29
7.04
5.96
6.77
8.01
6.26
8.21
7.77
C
D
E
Cholesterol BMI Autism Fruits Depression
F
Excre

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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