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

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 65% 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.

Bill Johnson’s monthly electricity consumption is approximately _______ kWh.

Explanation / Answer

as Bill Johnson’s consumption is at 65th percentile; for 65th percentile z =0.3853

therefore Bill Johnson’s monthly electricity consumption is approximately =mean+z*std deviation=1650+0.3853*320

=1773.303 =~ 1773

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