SOLUTION: The annual income of residents in a county is $42,000 with a standard deviation of $10,000. Between what two values do 95% of the incomes of county residents lie?

Question 431234: The annual income of residents in a county is $42,000 with a standard deviation of $10,000. Between what two values do 95% of the incomes of county residents lie?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Assuming a normal distribution, then by the empirical rule, 95% of the incomes lie within two standard deviations, or between $22,000 and $62,000.
Assuming non-normality, and using Chebyshev's theorem, then
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Since the left endpoint is negative, the bounds are 0 and 86,721.36.
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