Chapter 10, Problem 9P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Two separate samples, each with n = 15 individuals receive different treatments. After treatment, the first sample has *SS* = 1740 and the second has *SS* = 1620.

a. Find the pooled variance for the two samples.

b. Compute the estimated standard error for the sample mean difference.

c. If the sample mean difference is 8 points, is this enough to reject the null hypothesis and conclude that there is a significant difference for a two-tailed test at the .05 level?

**a.**

To determine

**To Find:** The pooled variance for the two samples given in the question.

Explanation

**Given info:**

Two samples each with size 15 each have sum of squared difference (SS) equal 1740 and 1620 respectively.

**Calculations:**

The degree of freedom for two samples is calculated as:

So, the pooled variance,

**b.**

To determine

**To Find:** The estimated standard error for the sample mean difference.

**c.**

To determine

**To check:** Whether there is a significant mean difference for a two-tailed test at

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