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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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