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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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Test statistic in a two-sample t test
Problem
Mio, a restaurant owner, wants to test if her two managers perform at the same level. To do that, she collects data about the number of customer complaints at two random samples of shifts (one for each manager). Here is a summary of the results:
Manager A | Manager B | |
---|---|---|
Mean | ||
Standard deviation | ||
Number of shifts |
Mio wants to use these results to carry out a two-sample test to determine if the mean numbers of complaints are significantly different for the two managers. Assume that all conditions have been met.
Which of the following would be an appropriate test statistic for Mio's test?