MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
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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