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Course: AP??/College Statistics?>?Unit 11
Lesson 5: Testing for the difference of two population means- Hypotheses for a two-sample t test
- Example of hypotheses for paired and two-sample t tests
- Writing hypotheses to test the difference of means
- Two-sample t test for difference of means
- Test statistic in a two-sample t test
- P-value in a two-sample t test
- Conclusion for a two-sample t test using a P-value
- Conclusion for a two-sample t test using a confidence interval
- Making conclusions about the difference of means
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Writing hypotheses to test the difference of means
Problem
An exercise scientist wanted to test the effectiveness of a new program designed to increase the flexibility of senior citizens. They recruited participants and rated their flexibility according to a standard scale before starting the program. The participants all went through the program and had their flexibility rated again after a month.
The scientist wants to test if the flexibility ratings are significantly higher after a month of the program. Assume that these participants can be considered a representative sample and that all other necessary conditions for inference were met.
Which of these is the most appropriate test and alternative hypothesis?