Miles per gallon. In its Fuel Economy Guide for model 2010 vehicles, the Environ

Question

Miles per gallon. In its Fuel Economy Guide for model 2010 vehicles, the Environmental Protection Agency gives data 1101 vehicles. There are a number of high outliers, mainly gas-electric vehicles. If we ignore the vehicles identified as outlier however, the combined city and highway gas mileage of the 1082 vehicles if approximately Normal with mean 20.3 miles gallon (mpg) and standard deviation 4.3 mpg. Exercises 3.35 to 3.38 concern this distribution. In my Chevrolet. The 2010 Chevrolet Camaro with an eight-cylinder engine and automatic transmission has a combined gas mileage of 19 mpg. What percent of all vehicles have better gas mileage than the Camaro? The bottom 10%. How low must a 2010 vehicle's gas mileage be in order to fall in the bottom 10% of all vehicles? The middle half. The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. They span the middle half of the distribution. What are the quartiles of the distribution of gas mileage? Quintiles. The quintiles of any distribution are the values with cumulative proportions 0.20, 0.40, 0.60, and 0.80. What are the quintiles of the distribution of gas mileage? What's your percentile? Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as

Explanation / Answer

AS THE QUESTION ASKED BY U PARTICULARLY IS 3.36

3.36)1ST QUARTILE = 0.25

P VALUE = -0.67

STD DEV = 4.3

MEAN = 20.3

z=x-/
solve for x
x=z+
x= - 0.67 x 4.3+20.3
x=17.41

Now, for the 3rd quartile or the 75th percentile
from z-table
P=0.75 z=0.67

use z-score to solve for x
x=z+
x=0.67 x 4.3+20.3
x=23.18

so the 1st and 2nd quartiles are
15.819 and 21.581

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