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AP Statistics/Unit 1: Exploring One-Variable Data
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Normal Distribution Mean and Standard Deviation
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A machine fills bottles with a normally distributed amount of liquid. If 10% of bottles contain less than 8.2 ounces and 5% contain more than 10.1 ounces, what are the mean and standard deviation of the fill amounts?

A

μ = 9.2 ounces, σ = 0.74 ounces

B

μ = 9.03 ounces, σ = 0.65 ounces

C

μ = 8.2 ounces, σ = 0.95 ounces

D

μ = 9.15 ounces, σ = 1.48 ounces

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