Question

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 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. In the U.S., for example, girls perform just as well on standardized math tests as boys. 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 skills. A portion of representative data on math scores for boys and girls is shown in the accompanying table.

In a report, use the above information to:

1. Construct and interpret the 95% confidence interval for the ratio of the variance of math scores for boys and for girls. Discuss the assumptions made for the analysis.

2. Determine at the 5% significance level if boys have more variability in math scores than girls. (Two full sentences: one stating your decision using p-value or critical value approach and one stating your conclusion.)

Boys	Girls
74	83
89	76
92	89
84	84
68	99
88	88
84	96
96	68
100	82
62	81
99	77
77	94
84	74
58	69
100	84
48	89
88	76
94	66
86	62
66	98
90	88
66	74

Show all working out and reasoning, be specific and detailed please. Please do all working out in Excel only. Thank you. This is about Chi Squared Distribution:Statistical Inference Concerning Variance and F Distribution:Inference Concerning Ratio of Two Population Variances to give you an idea about what formulas I'm looking for. Thank you.

Answer 1

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