Question

finally, you want to test if listening to more angsty music increases billies brain activity.
which inferential statistic should you use to test if more angst is related to increased brain activity?
analysis of variance (anova)
chi - square test
correlation analysis
t - test

Explanation:

• Analysis of variance (ANOVA): Used to compare means among three or more groups. Here, we are looking for a relationship (not comparing group means), so this is not appropriate.
• Chi - square test: Used for categorical data to test for associations. Brain activity and angsty music exposure (assuming they are at least ordinal or interval) are not purely categorical in a sense that chi - square would be ideal.
• Correlation analysis: Used to determine the relationship (linear or non - linear depending on the type of correlation) between two variables. Since we want to test if more angsty music (one variable) is related to increased brain activity (another variable), correlation analysis is suitable.
• t - test: Used to compare means between two groups. Again, we are interested in a relationship, not a mean comparison.

Answer:

correlation analysis