MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose an education administrator wants to know whether the test scores of a new standardized graduation exam are different for males and females. To test this hypothesis, the administrator decides to perform a ?‑test for two independent means.

She takes a random sample of test scores from both male and female populations. Some of the summary data are shown in the table.

Population Population
Description
Sample
size
Sample
mean (pts)
Sample standard
deviation (pts)
1 Female ?1=21 ?⎯⎯⎯1=34.3 ?1=3.09
2 Male ?2=22 ?⎯⎯⎯2=34.7 ?2=3.82

The administrator assumes that the population variances are equal, so she computes a pooled ?‑test statistic. Determine the number of degrees of freedom, df, for the pooled ?‑statistic.

 
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