The appropriate statistical test to examine the difference in learning styles of students when they are grouped by parents' monthly income is ANOVA (Analysis of Variance).
ANOVA is a statistical test used to compare the means of more than two groups. In this case, the students are grouped based on their parents' monthly income, and the mean scores for each group are compared.
Pearson r is a correlation test used to assess the strength and direction of the linear relationship between two continuous variables. F-test is also a statistical test that is used to compare the variance between two or more groups.
Chi-square test is a statistical test used to examine the association between two categorical variables. It is not appropriate for this scenario as the variable of interest, learning style, is continuous.
Therefore, ANOVA is the most appropriate test to examine the difference in learning styles of students based on their parents' monthly income.
PH