14. In a test of weight loss programs, 165 subjects were divided such that 33 subjects followed each of 5diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Usea 0.025 significance level to test the claim that the mean weight loss is the same for the different diets.F crit69.07829 2.1064 | 0.082433 2.866740Source of VariationSSDfMSFP-valueBetween Groups276.31345247.117 160 32.794485523.430 164Within GroupsTotalIdentify the null hypothesis, alternate hypothesis, test statistic, P-value, conclusion about the nullhypothesis, and conclusion that addresses the original claim.

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14. In a test of weight los diets. Each was weighed a 0.025 significance level Source of Variation SS S

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

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.

Question

14. In a test of weight loss programs, 165 subjects were divided such that 33 subjects followed each of 5
diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use
a 0.025 significance level to test the claim that the mean weight loss is the same for the different diets.
F crit
69.07829 2.1064 | 0.082433 2.866740
Source of Variation
SS
Df
MS
F
P-value
Between Groups
276.313
4
5247.117 160 32.79448
5523.430 164
Within Groups
Total
Identify the null hypothesis, alternate hypothesis, test statistic, P-value, conclusion about the null
hypothesis, and conclusion that addresses the original claim.

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