According to the records of an electric company serving the Boston area, the mea
ID: 2933731 • 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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