In a study, it was found that for families of 3, the poverty line has been about

Question

In a study, it was found that for families of 3, the poverty line has been about $16600. If Standard Deviation for the income of these families is roughly $300 and that the distribution of poverty for families of 4 is known to be normal.
Let X represent the income for a poverty family of size 3.

Find an income such that 90% of all families of size 3 are below it.

Explanation / Answer

Given mean=16600, s=300 ---------------------------------------------------------------------------- P(X>=16000) = P((X-mean)/s >= (16000-16600)/300) =P(Z>= -2) = 0.9772 (check standard normal table) ---------------------------------------------------------------------------- P(16250

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