SOLUTION: The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. Mean=
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Question 1187950: The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. Mean=2254 kWh Standard Deviation= 573.6 kWh
(a) What consumption level represents the 9th percentile?
(b) What consumption level represents the 19th percentile?
(c) What consumption level represents the third quartile? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z(0.09)=-1.34
z(0.19)=-0.88
z(0.75)=0.67
z=(x-mean)/sd
for the first one
-1.34=(x-2254)/573.6; multiply both sides by 573.6
-768.62 or -769=x-2254
x=1485 kWh
The other two are done exactly the same way. The last one will be greater than 2254.
