19. SATs, again How do states stack up against each other in SAT scores? To compare California and Massachusetts scores, random samples of 100 students from each state were selected and their SAT scores recorded with the following results

a. Find a point estimate for the difference in mean SAT scores for Massachusetts and California with a margin of error

b. Find a 95% confidence interval estimate for the difference in mean SAT scores for these two states.
Does it appear that there is a significant difference in the average SAT scores?

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Sample Standard State Mean Size Deviation Massachusetts 1122 100 194 California 1048 100 165