Answered: A researcher for a cereal company…

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

A researcher for a cereal company wanted to demon-strate the health benefits of eating oatmeal. A sampleof 9 volunteers was obtained and each participant ate afixed diet without any oatmeal for 30 days. At the endof the 30-day period, cholesterol was measured foreach individual. Then the participants began a second30-day period in which they repeated exactly the samediet except that they added 2 cups of oatmeal eachday. After the second 30-day period, cholesterol levelswere measured again and the researcher recorded thedifference between the two scores for each participant.For this sample, cholesterol scores averaged MD=16points lower with the oatmeal diet with SS=538 forthe difference scores.

Are the data sufficient to indicate a significant change in cholesterol level? Use a two-tailed test with a= .01.
Compute r2,the percentage of variance accounted for by the treatment, to measure the size of the treatment effect.
Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.

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