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 1 for State 1 and 2 for State 2.) State Mean Sample
Size Standard
Deviation
State 1 1,124 100 196
State 2 1,049 100 163
Find the test statistic. (Round your answer to two decimal places.)
z =

State your conclusion.
- H0 is not rejected. There is insufficient evidence to indicate that there is a difference in the average SAT scores for the two states.
- H0 is not rejected. There is sufficient evidence to indicate that there is a difference in the average SAT scores for the two states.
- H0 is rejected. There is insufficient evidence to indicate that there is a difference in the average SAT scores for the two states.
- H0 is rejected. There is sufficient evidence to indicate that there is a difference in the average SAT scores for the two states.

(b)
Use the p-value approach to test for a significant difference in the average SAT scores for these two states. (Use = 0.05.)
Find the p-value. (Round your answer to four decimal places.)
p-value =