How do states stack up against each other in SAT scores? To compare State 1 and State 2 scores, random samples of 100 students from each state were selected and their SAT scores recorded with the following results. (Use #, for State 1 and #2 for State 2.) Sample Standard State Mean Size Deviation State 1 1,121 100 196 State 2 1,047 100 167 (a) Use the critical value approach to test for a significant difference in the average SAT scores for these two states at the 5% level of significance. State the null and alternative hypotheses. OHo: (H1 - H2) = 0 versus Ha: (1 1 - H2) > 0 OH: (H1 - 12) # 0 versus Ha: (H1 - 12) = 0 O Ho: (H1 - 12) = 0 versus Ha: (H1 - H2) # 0 O Ho: (M1 - 12) 0 O Ho: (M1 - 12) = 0 versus Ha: (1 1 - 12)