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What does it mean if two samples are significantly different from each other? What does it mean if they are not significantly different? -Economists say women make less than men in the United States by a wide margin. Do we find the same thing? What about income differences between White and Black Americans in the U.S.? How does our data fit with our understanding of pay discrepancies?

What does it mean if two samples are significantly different from each other? What does it mean if they are not significantly different? -Economists say women make less than men in the United States by a wide margin. Do we find the same thing? What about income differences between White and Black Americans in the U.S.? How does our data fit with our understanding of pay discrepancies?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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-What does it mean if two samples are significantly different from each other? What does it mean if they are not significantly different?

-Economists say women make less than men in the United States by a wide margin. Do we find the same thing? What about income differences between White and Black Americans in the U.S.? How does our data fit with our understanding of pay discrepancies?

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Group Statistics RESPONDENTS Std. Error GENDER N Mean Std. Deviation Mean Respondent Household Income (in $) M 476 32372.37 23710.038 1086.748 W 507 20793.89 15915.295 706.823 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. df Sig. (2-tailed) Difference Difference Lower Upper Respondent Household Income (in $) Equal variances 54.564 .000 9.039 981 .000 11578.488 1280.978 9064.717 14092.260 assumed Equal variances not 8.931 823.531 .000 11578.488 1296.387 9033.876 14123.100 assumed Independent Samples Effect Sizes 95% Confidence Interval Point Standardizer Estimate Lower Upper Respondent Household Income (in $) Cohen's d 20071.150 .577 .449 .704 Hedges'correction 20086.511 .576 .449 .704 Glass's delta 15915.295 .728 .594 .860 a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's delta uses the sample standard deviation of the control group.
Transcribed Image Text:Group Statistics RESPONDENTS Std. Error GENDER N Mean Std. Deviation Mean Respondent Household Income (in $) M 476 32372.37 23710.038 1086.748 W 507 20793.89 15915.295 706.823 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. df Sig. (2-tailed) Difference Difference Lower Upper Respondent Household Income (in $) Equal variances 54.564 .000 9.039 981 .000 11578.488 1280.978 9064.717 14092.260 assumed Equal variances not 8.931 823.531 .000 11578.488 1296.387 9033.876 14123.100 assumed Independent Samples Effect Sizes 95% Confidence Interval Point Standardizer Estimate Lower Upper Respondent Household Income (in $) Cohen's d 20071.150 .577 .449 .704 Hedges'correction 20086.511 .576 .449 .704 Glass's delta 15915.295 .728 .594 .860 a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's delta uses the sample standard deviation of the control group.
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