Question

which inferential statistic should you use to test if she sees more blue dots for one song than the other song? analysis of variance (anova) chi - square test correlation analysis t - test

Explanation:

• Analysis of variance (ANOVA): Used when comparing means of three or more groups. Here, we are comparing two groups (two songs), so ANOVA is not appropriate.
• Chi - square test: Used to test relationships between categorical variables. The number of blue dots is a quantitative (not categorical) variable, so chi - square is not suitable.
• Correlation analysis: Used to measure the strength and direction of a linear relationship between two variables. We are not interested in a relationship but in comparing means of two groups, so correlation analysis is not correct.
• t - test: Used to compare the means of two groups. Since we want to test if the mean number of blue dots for one song is different (more in this case) than the mean number of blue dots for another song (two groups), a t - test is the appropriate inferential statistic.

Answer:

t - test