Chapter 10, Problem 12P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

For each of the following, calculate the pooled variance and the estimated standard error for the sample mean difference.

- a. The first sample has
*n***=**4 scores and a variance of*s*55, and the second sample has^{2}=*n*= 6 scores and a variance of*s*= 63.^{2} - b. Now the sample variances are increased so that the first sample has
*n*= 4 scores and a variance of*s*^{2}= 220, and the second sample has*n*= 6 scores and a variance of*s*^{2}= 252*.* - c. Comparing your answers for parts a and b, how does increased variance influence the size of the estimated standard error?

**a.**

To determine

**To Find:** The estimated standard error for the given question

Explanation

**Given info:**

Two samples with size 4 and 6 have variance 55 and 63 respectively.

**Calculations:**

The degrees of freedom for two samples is:

Similarly,

The pooled variance can be calculated using formula

Substitute 55 for

**b.**

To determine

**To Find:** The estimated standard error for the given question.

**c.**

To determine

**To Describe:** Increased variance influence the size of the estimated standard error.

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