Chapter 06, Section 6.4, Problem 042 According to the records of an electric com

Question

Chapter 06, Section 6.4, Problem 042 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 % 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 the tolerance is +/-296 kWh. the tolerance is +/-2%

Explanation / Answer

for we know that at 90th percentile z score =1.2816

hence corresponding electric consumption =mean +z*std deviation =1650+1.2816*320 =2060 KWh

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