SOLUTION: Monthly utility bills in a certain city are normally distributed with a mean of 100 and a standard deviation of 12. A utility bill is randomly selected. What is the highest uti

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Question 305807: Monthly utility bills in a certain city are normally distributed with a mean of 100 and a standard deviation of 12. A utility bill is randomly selected.
What is the highest utility bill that can be in the bottom 32% of the bill?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Monthly utility bills in a certain city are normally distributed with a mean of 100 and a standard deviation of 12. A utility bill is randomly selected.
What is the highest utility bill that can be in the bottom 32% of the bill?
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Find the z-value that has a 32% left tail.
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z = invNorm(0.32) = -0.4677
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Find the corresponding "x" value:
x = zs+u
x = -0.4677*12 + 100
x = 94.39
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Cheers,
Stan H.
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