Question

If we want to see if 3 or more distributions have the same mean where the distributions are independent; are approximately normally distributed; and have approximately the same variance, we would use _________.

A. T-test
B. ANOVA
C. Chi-squared test
D. Regression analysis

Answer 1

The correct answer is B. ANOVA. When we want to see if three or more distributions have the same mean, we use ANOVA (analysis of variance). ANOVA is a statistical test that compares the means of multiple groups to determine if they are significantly different from each other.

Step-by-step explanation:

The correct answer is B. ANOVA.

When we want to see if three or more distributions have the same mean, we use ANOVA (analysis of variance). ANOVA is a statistical test that compares the means of multiple groups to determine if they are significantly different from each other. It is applicable when the distributions are independent, approximately normally distributed, and have approximately the same variance.

For a one-way ANOVA, we compare the variation within each group to the variation of the mean of each group using the F ratio. If the F ratio is significant, it indicates that at least two of the group means are not equal, meaning there is a statistically significant difference between them.