Sajjad1994
The figure shows the distribution of retail electricity rates in 2007 for five states in the U.S. in cents per kilowatt hour.
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Select from each drop-down menu the option that creates the most accurate statement, given the information provided.A. If the highest cost range per kilowatt hour is listed for each of the five states included in the figure, then the state with the greatest percentage of customers spending less than six cents per kilowatt hour is____________A. Colorado
B. Mississippi
C. Massachusetts
D. Pennsylvania
E. WashingtonEvident as the only state with the greatest customer fraction in the range.
B. If the average U.S. residential energy customer pays 13.31 cents per kilowatt hour, and every consumer paid the maximum amount per kilowatt hour for each of the ranges listed in the figure, then a randomly selected energy consumer from Massachusetts would be approximately_____________less likely to pay less than the average than is would be a randomly selected energy consumer from Pennsylvania.A. 9%
B. 33%
C. 66%
D. 95%E. 100%
Right so lets take a step by step approach for this problem.
The stems says that the average is 13.31 cents/ KwHr. Keeping this in memory.
"every consumer paid the maximum amount per kilowatt hour for each of the ranges listed in the figure", this simply means that the question wants us to take the maximum cent/kwhr value of the range.
i.e. 6-8 means 8 cent/kwhr, 12-14 mean 14 cent/kwhr.
OK now we know that we need to find people in the respected country spending less than the average which in our case is 13.3 so
For the Massachusetts case we can observe about 3% fraction of customers in the 10-12 range that is 3 people in a total of 100 people or 3/100.
Similarly we can observe for Pennsylvania we get about 31 % in 10-12 range and 36% in 8-10 range. This means 31 people in 100 and 36 people in 100 or about 67 people in a total of 200 people are paying less than the average.
Simplify a little bit.
3/100 * 2/2 = 6/200 people from Massachusetts
while 67/200 people from Pennsylvania .
to see how much is the decrease 67-6 = [(61/200) / (67/200)] *100 = (61/67) * 100 = about 91 %
Hence IMO D.
Here's my take for this question.