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For decades, people have believed that boys are innately more capable than girls in math. in other words, due to the intrinsic differences in brains, boys are believed to be better suited for doing math than girls. Recent research challenges this stereotype, arguing that gender differences in math performance have more to do with culture than innate aptitude, Others argue, however, that while the average may be the same, there is more variability in math ability for boys than girls, resulting in some boys with soaring math skils. The accompanying data file shows the math scores for 22 boys and 22 girls. Click here for the Excel Data File a. Construct 95% confidence intervals for the mean scores of boys and the mean scores of girls. Note: Round your final answers to 2 decimal places. b. Explain why the withs of the two intervals are different. The sample standard errors of the scores of boys and girls are different. The sample means of the scores of boys and girls are different