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A researcher classifies students according to three parental income groups and also according to three possible scores ranges on the SAT examination

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A researcher classifies students according to three parental income groups and also according to three possible scores ranges on the SAT examination. He randomly selects two students from each of the nine (Income, SAT) combinations. The researcher records the grade point averages (GPA) of those sample members at the end of the sophomore year. Test the null hypothesis that the population mean GPAs are the same for the three income levels and the null hypothesis that the population mean GPAs are the same for the three SAT score ranges. Select the appropriate experimental design for this analysis.

a. randomized block design

b. Two-Way ANOVA

c. One-Way ANOVA