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If We Model After-Tax Household Income by a Normal Distribution

question 173

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If we model after-tax household income by a normal distribution, then the figures of a 1995 study imply the information in the following table. Assume that the distribution of incomes in each country is bell-shaped and symmetric.  Country  U.S.  Canada  Switzerland  Germany  Sweden  Mean Household  Income $38,000$35,000$39,000$34,000$32,000 Standard Deviation $21,000$17,000$16,000$14,000$11,000\begin{array} { | c | c | c | c | c | c | } \hline \text { Country } & \text { U.S. } & \text { Canada } & \text { Switzerland } & \text { Germany } & \text { Sweden } \\\hline \begin{array} { c } \text { Mean Household } \\\text { Income }\end{array} & \$ 38,000 & \$ 35,000 & \$ 39,000 & \$ 34,000 & \$ 32,000 \\\hline \text { Standard Deviation } & \$ 21,000 & \$ 17,000 & \$ 16,000 & \$ 14,000 & \$ 11,000 \\\hline\end{array} If we define a "poor" household as one whose after-tax income is at least 1.3 standard deviations below the mean, find the household income of a poor family in Switzerland.

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Apply concepts of identity status to real-life scenarios.
Recognize the importance of supportive environments in adolescent development, especially for at-risk populations.
Develop strategies for creating inclusive and supportive school environments for all students.

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