# 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. 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 the data on math scores of boys and girls is shown below; the complete data set, labeled Math_Scores, can be found on the text website.

Boys Girls

74........ 83

89........ 76

: ......... :

66........ 74

a. Use Excel to construct 95% confidence intervals for the mean scores of boys and the mean scores of girls. Explain your assumptions.

b. Explain why the widths of the two intervals are different.

Boys Girls

74........ 83

89........ 76

: ......... :

66........ 74

a. Use Excel to construct 95% confidence intervals for the mean scores of boys and the mean scores of girls. Explain your assumptions.

b. Explain why the widths of the two intervals are different.

## Answer to relevant Questions

A recent study found that consumers are making average monthly debt payments of $983 (Experian.com, November 11, 2010). The accompanying table shows a portion of average debt payments for 26 metropolitan areas. The complete ...In a sample of 30 observations the number of successes equals 18.a. Construct the 88% confidence interval for the population proportion of successes.b. Construct the 98% confidence interval for the population proportion of ...Obesity is generally defined as 30 or more pounds over a healthy weight. A recent study of obesity reports 27.5% of a random sample of 400 adults in the United States to be obese.a. Use this sample information to compute the ...You wish to compute a 95% confidence interval for the population proportion. How large a sample should you draw to ensure that the sample proportion does not deviate from the population proportion by more than 0.06? No prior ...A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy. In a sample of 36 cereal boxes, the sample mean filling weight is calculated as 1.22 pounds. The population standard deviation ...Post your question

0