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According to the records of an electric company serving the Boston area, the mea

ID: 3337331 • Letter: A

Question

According to the records of an electric company serving the Boston area, the mean electricity consumption during winter for all households is 1650 kilowatt-hours per month. Assume that the monthly electricity consumption during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. The company sent a notice to Bill Johnson informing him that about 85% of the households use less electricity per month than he does. What is Bill Johnson’s monthly electricity consumption?

Round your answer to the nearest integer.

Explanation / Answer

mean is 1650 and standard deviation s is 320

for 85% the z value is 1.04 from the normal distribution table

thus answer is mean+s*z=1650+320*1.04=1982.8

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