Question

which inferential statistic should you use to test if billies visual cortex is more active 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 (one song vs. another song), so ANOVA is not appropriate.
• Chi - square test: Used for categorical data to test for associations or goodness - of - fit. Visual cortex activity is likely a continuous or quantitative measure (e.g., based on fMRI readings), so chi - square is not the right choice.
• Correlation analysis: Measures the strength and direction of a relationship between two variables. We are not interested in a relationship but in a difference in means (activity levels for two songs), so correlation is incorrect.
• t - test: Used to compare means of two groups. Since we want to test if the visual cortex activity (a quantitative measure) is different for two songs (two groups), a t - test is suitable.

Answer:

t - test