Chapter 10, Problem 8P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Two samples are selected from the same population. For each of the following, calculate how much difference is expected, on average, between the two sample means.

- a. One sample has
*n*= 4, the second has n = 6**,**and the pooled variance is 60. - b. One sample has n = 12, the second has
*n*= 15, and the pooled variance is 60. - c. In Part b, the sample sizes are larger but the pooled variance is unchanged. How does larger sample size affect the magnitude of the standard error for the sample mean difference?

**a.**

To determine

**To Find:** The difference to expect, on average, between two sample means (That is, calculate estimated standard error).

Explanation

**Given info:**

Two samples with size 4 and 6 have pooled variance equal to 60.

**Calculations:**

The formula for estimated standard error of the difference is,

Substitute 60 for

**b.**

To determine

**To Find:** The difference to expect, on average, between two sample means (That is, calculate estimated standard error).

**c.**

To determine

**To describe:** How does larger sample size affect the estimated standard error.

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