Chapter 10, Problem 5P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

One sample has *SS* = 36 and a second sample has *SS* = 18.

a. If *n* = 4 for both samples, find each of the sample variances and compute the pooled variance. Because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances.

b*.* Now assume that *n* = 4 for the first sample and n = 7 for the second. Again, calculate the two sample variances and the pooled variance. You should find that the pooled variance is closer to the variance for the larger sample.

**a.**

To determine

**To Find:** The sample variances and pooled variance for given question.

Explanation

**Given info:**

Two samples each of size 4 has sum of squared difference (SS) equal 36 and 18.

**Calculations:**

The formula for sample variance is:

Substitute

Similarly, substitute

Now, the degrees of freedom are calculated as:

**b.**

To determine

**To Find:** The sample variances and pooled variance for the given question.

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