Chapter 11, Problem 16P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

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 *M*_{D} = 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

b. Compute r^{2}, 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.

**a**.

To determine

The sufficiency of data to indicate that there is significance change in the cholesterol level using two tail tests.

Explanation

**Given info:**

The average of student

**Calculation:**

The null hypothesis:

The alternative hypothesis:

*The sample variance:*

Thus, the sample variance is 67.25.

*The standard deviation of the mean*:

**b**.

To determine

The coefficient of the determination.

**c**.

To determine

The Cohen’s
d to measure the size of the effect.

**To describe**: About the result of hypothesis test and the measure of effect of size.

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