Asked by Rebecca Rivera on May 27, 2024
Verified
The test for the equality of two population variances is based on the:
A) difference between the two sample variances
B) ratio of the two sample variances
C) difference between the two population variances
D) difference between the two sample variances divided by the difference between the two population variances
E) difference between the two population variances divided by the two sample variances
Population Variances
The measure of how data points in an entire population are spread out, calculated as the average of the squared differences from the mean.
Sample Variances
A measure of the spread or dispersion within a set of sample data, calculated as the average of the squared differences from the sample mean.
- Use the F-test for assessing variance differences between two population groups.
Verified Answer
KC
Karina CohillMay 28, 2024
Final Answer :
B
Explanation :
The test for equality of two population variances is based on the ratio of the two sample variances. This is known as the F-test, which compares the variances of two populations by dividing the larger sample variance by the smaller sample variance. The resulting F-statistic is compared to a critical value from an F-distribution to determine whether the variances are equal or not.
Learning Objectives
- Use the F-test for assessing variance differences between two population groups.