Chapter 11.3, Problem 1LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A researcher is investigating the effect of a treatment by measuring performance for a sample of *n* = 9 participants before and after they receive the treatment. For this sample, performance scores increased after treatment by an average of *M* = 1.9 points with *SS* = 200.

a. Are the data sufficient to conclude that treatment has a significant effect on performance? Use a two-tailed test with

b. Compute the effect size for the treatment using both Cohen’s *d* and *r*^{2}.

c. Compute the 90% confidence for the population mean difference.

**a.**

To determine

**To find:** Whether or not the treatment has significant effect on performance at

Explanation

**Given info:**

A sample of 9 individuals is selected from a population. The sample mean and sum of squared difference (SS) is found to be 1.9 and 200 respectively. Two-tailed hypothesis test using

**Calculations:**

Step 1: Null Hypothesis is

Step 2: For a sample of

Step 3: t-statistics can be calculated using formula:

First, calculate sample standard deviation, s, using formula:

Substitute

**b.**

To determine

**To find:** Cohen’s d and

**c.**

To determine

**To make:** The 90% confidence interval estimate for the given question

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