A medical researcher wants to test whether the mean cholesterol levels are the same for 3 treatment groups of subjects (with 18 total randomly selected subjects): those who take a new medication, those who follow a diet, and those who make no changes to medication or diet. They plan to use a 5% level of significance for their decision. Below is a partial Analysis of Variance table. Use it to answer the following questions deg of freedom Sum of Squares Mean Square F statistic Treatment Group 3.121 1.5607 Error 1.517 0.1011 Total 17 What is the critical value of F we would compare this to (see F-table) [ Select] What is our decision v [ Select ] More information is needed Do not reject the null hypothesis because our f-statistic is smaller than the critical f Reject the null hypothesis because our f-statistic is greater than the critical f Reject the null hypothesis because our f-statistic is smaller than the critical f Do not reject the null hypothesis because our f-statistic is greater than the critical f

A medical researcher wants to test whether the mean cholesterol levels are the same for 3 treatment groups of subjects (with 18 total randomly selected subjects): those who take a new medication, those who follow a diet, and those who make no changes to medication or diet. They plan to use a 5% level of significance for their decision. Below is a partial Analysis of Variance table. Use it to answer the following questions deg of freedom Sum of Squares Mean Square F statistic Treatment Group 3.121 1.5607 Error 1.517 0.1011 Total 17 What is the critical value of F we would compare this to (see F-table) [ Select] What is our decision v [ Select ] More information is needed Do not reject the null hypothesis because our f-statistic is smaller than the critical f Reject the null hypothesis because our f-statistic is greater than the critical f Reject the null hypothesis because our f-statistic is smaller than the critical f Do not reject the null hypothesis because our f-statistic is greater than the critical f

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Description: A medical researcher wants to test whether the mean cholesterol levels are the same for 3treatment groups of subjects (with 18 total randomly selected subjects): those who take a newmedication, those who follow a diet, and those who make no changes

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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

A medical researcher wants to test whether the mean cholesterol levels are the same for 3
treatment groups of subjects (with 18 total randomly selected subjects): those who take a new
medication, those who follow a diet, and those who make no changes to medication or diet. They
plan to use a 5% level of significance for their decision. Below is a partial Analysis of Variance
table. Use it to answer the following questions
deg of freedom
Sum of Squares
Mean Square
F statistic
Treatment Group
3.121
1.5607
Error
1.517
0.1011
Total
17
What is the critical value of F we would compare this to (see F-table)
[ Select ]
What is our decision v [ Select ]
More information is needed
Do not reject the null hypothesis because our f-statistic is smaller than the critical f
Reject the null hypothesis because our f-statistic is greater than the critical f
Reject the null hypothesis because our f-statistic is smaller than the critical f
Do not reject the null hypothesis because our f-statistic is greater than the critical f

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