# SOLUTION: 9. Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately \$45,000/year in this state, with a standard deviation o

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: 9. Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately \$45,000/year in this state, with a standard deviation o      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 510117: 9. Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately \$45,000/year in this state, with a standard deviation of about \$9000. Within what income range would approximately 93.75% of the household incomes lie within this state? Show all work as to how this is obtained. Can someone please help me with this, I don't know what to do at all. I need some explanation pleaseAnswer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!Household income does not tend to follow a normal distribution in a particular state, yet average income is approximately \$45,000/year in this state, with a standard deviation of about \$9000. ----------- Within what income range would approximately 93.75% of the household incomes lie within this state? Show all work as to how this is obtained. ------------------------------------------------- Draw the picture of a normal curve with 93.75% centered on the mean. --- The two tails = 1- 0.9374 = 0.0626 --- The left tail is 0.0626/2 = 0.0313 ---- Find the z-value with a left tail of 0.0313 z = invNorm(0.0313) = -1.8620 --- Find the corresponding income value: x = zs + u x = -1.8620*9000 + 45000 = \$28,242.00 --- Similarly the upper income level is x = +1.8620*9000 + 45000 = \$61,758 ====================================== Cheers, Stan H. ===========