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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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.

  1. a. One sample has n = 4, the second has n = 6, and the pooled variance is 60.
  2. b. One sample has n = 12, the second has n = 15, and the pooled variance is 60.
  3. 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,

sM1M2=sp2n1+sp2n2

Substitute 60 for sp2

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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