Math Problem Statement
In which of the following scenarios will conducting a two-sample t -test for means be appropriate? CHECK ALL THAT APPLY.
A. To test if the proportion of low-income families is higher than that of high-income families in British Columbia.
B. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.
C. To test if there is a difference between the mean annual income of British Columbians and a known national mean.
D. To test if there is a difference between the proportion of low-income families in British Columbia and a known national proportion.
E. To test if there is a difference between the mean annual income of husbands and that of wives in Canada.
F. To test if the mean annual income of Ontarians is higher than that of British Columbians.
G. None of the above
Solution
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Math Problem Analysis
Mathematical Concepts
Two-sample t-test
Hypothesis testing
Means comparison
Formulas
t = (X̄1 - X̄2) / √[(s1²/n1) + (s2²/n2)]
Theorems
Central Limit Theorem
t-distribution
Suitable Grade Level
Grades 11-12
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