Podcast
Questions and Answers
When can one use the Pooled variance t-test?
When can one use the Pooled variance t-test?
One can use this test if the random samples are independently selected from two populations that are normally distributed and have equal variances.
When is the paired t-test for the mean difference used?
When is the paired t-test for the mean difference used?
This test is used for examining the difference between two populations when data is collected from related populations.
What are the 3 rules or assumptions for the Pooled Variance test?
What are the 3 rules or assumptions for the Pooled Variance test?
What is the null hypothesis in testing for differences between the means of two related populations?
What is the null hypothesis in testing for differences between the means of two related populations?
Signup and view all the answers
What test should a researcher use if they choose 60 students and give each two tests after different amounts of sleep?
What test should a researcher use if they choose 60 students and give each two tests after different amounts of sleep?
Signup and view all the answers
What are the 3 assumptions for the Paired t-test?
What are the 3 assumptions for the Paired t-test?
Signup and view all the answers
The sample size in each independent sample must be the same if we are to test for differences between the means of two independent populations.
The sample size in each independent sample must be the same if we are to test for differences between the means of two independent populations.
Signup and view all the answers
In the professor's situation, he should use a t-test with related samples.
In the professor's situation, he should use a t-test with related samples.
Signup and view all the answers
Study Notes
Pooled Variance t-test
- Applicable when random samples are independently selected from two populations.
- Requires the populations to be normally distributed with equal variances.
Paired t-test for Mean Difference
- Used to examine the difference between two related populations.
- Samples must be related, indicating that the outcomes from the first population affect the second.
Assumptions for Pooled Variance Test
- Equal variances must exist between populations.
- Populations should be normally distributed.
- Each value must be sampled independently.
Null Hypothesis for Related Populations
- The null hypothesis states that the mean difference (D) equals zero (H0: D = 0).
Related Samples Test Example
- A researcher assesses sleep impact on student test performance by testing the same 60 students after two different amounts of sleep.
- The appropriate test in this scenario is a related samples test.
Assumptions for Paired t-test
- Homogeneity of variance is required: both populations should have the same variance.
- The populations must be normally distributed.
- Each measurement must be independent, meaning no subject should contribute more than one score.
Sample Size in Independent Samples
- Sample sizes do not need to be equal across independent populations to test for mean differences.
Misapplication of t-test
- A professor incorrectly uses a related samples t-test when the variances are equal for upper and lower classmen’s grades.
- The correct approach would have been to apply the paired t-test for assessing independent means.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of key statistical tests covered in BNAL 306 Chapter 10. This quiz focuses on the Pooled variance t-test and the Paired t-test, two essential concepts in comparing population means. Perfect for reinforcing your knowledge before exams!
