or 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 skills. The accompanying data file shows the math scores for 22 boys and 22 girls. Click here for the Excel Data File 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. Explain why the widths of the two intervals are different. multiple choice 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. Boys Girls 71 88 85 76 96 92 85 82 67 99 85 88 84 96 96 64 100 87 57 76 99 79 77 89 89 71 53 67 100 87 44 87 93 78 90 71 90 66 64 98 90 86 70 72
or 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 skills. The accompanying data file shows the math scores for 22 boys and 22 girls. Click here for the Excel Data File 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. Explain why the widths of the two intervals are different. multiple choice 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. Boys Girls 71 88 85 76 96 92 85 82 67 99 85 88 84 96 96 64 100 87 57 76 99 79 77 89 89 71 53 67 100 87 44 87 93 78 90 71 90 66 64 98 90 86 70 72
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 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 skills. The accompanying data file shows the math scores for 22 boys and 22 girls.
Click here for the Excel Data File
-
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.
-
Explain why the widths of the two intervals are different.
multiple choice
-
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.
-
| Boys | Girls | |
| 71 | 88 | |
| 85 | 76 | |
| 96 | 92 | |
| 85 | 82 | |
| 67 | 99 | |
| 85 | 88 | |
| 84 | 96 | |
| 96 | 64 | |
| 100 | 87 | |
| 57 | 76 | |
| 99 | 79 | |
| 77 | 89 | |
| 89 | 71 | |
| 53 | 67 | |
| 100 | 87 | |
| 44 | 87 | |
| 93 | 78 | |
| 90 | 71 | |
| 90 | 66 | |
| 64 | 98 | |
| 90 | 86 | |
| 70 | 72 | |
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