A researcher for a cereal company wanted to demonstrate the health of eating oatmeal. A sample of 9 volunteers was obtained and each participant ate a fixed diet without any oatmeal for 30 days. At the end of the 30-day period, cholesterol was measured for each individual. Then the participants began a second 30-day period in which they repeated exactly the same diet except that they added 2 cups of oatmeal each day. After the second 30-day period, cholesterol levels were measured again and the researcher recorded the difference between the two scores for each participant. For this sample, cholesterol scores averaged MD = 16 points lower with the oatmeal with SS = 538 for the difference scores.
a. Are the data sufficient to indicate a significant change in cholesterol level? Use a two-tailed test with = .01.
b. Compute r2, the percentage of variance accounted for by the treatment, to measure the sire of the treatment effects.
c. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.
The average of student is 16, is 538 and is 9.
The null hypothesis:
(There is no difference between the two tests)
The alternative hypothesis:
(There is difference between the two tests)
The sample variance:
Thus, the sample variance is 67.25.
The standard deviation of the mean:
To describe: About the result of hypothesis test and the measure of effect of size.
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started
Probability and Statistics for Engineering and the Sciences
Statistics for The Behavioral Sciences (MindTap Course List)
Essentials Of Statistics
Understanding Basic Statistics
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus: Early Transcendentals, Volume I
Mathematical Applications for the Management, Life, and Social Sciences
Calculus of a Single Variable
Calculus: Early Transcendental Functions
Elementary Geometry For College Students, 7e
Elementary Technical Mathematics
Mathematical Excursions (MindTap Course List)
Elements Of Modern Algebra
Single Variable Calculus: Early Transcendentals
Calculus: Early Transcendentals
Precalculus: Mathematics for Calculus (Standalone Book)
Single Variable Calculus
Finite Mathematics for the Managerial, Life, and Social Sciences
Calculus (MindTap Course List)
Calculus: Early Transcendental Functions (MindTap Course List)
Finite Mathematics and Applied Calculus (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Calculus: An Applied Approach (MindTap Course List)
Contemporary Mathematics for Business & Consumers
Trigonometry (MindTap Course List)
Introduction To Statistics And Data Analysis
Elementary Geometry for College Students
Study Guide for Stewart's Multivariable Calculus, 8th
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th