The Environmental Protection ageney requires that the exhaust of each model Type

Question

The Environmental Protection ageney requires that the exhaust of each model Type n of motor vehicle be tested for the level of several pollutants. The level of oxidesPart 1: 5 points of nitrogen (NOX) in the exhaust of one light truck model was found to vary Part 2:5 ponts among individually trucks according to a Normal distribution with mean 1.-45 opoints grams per mile driven and standard deviation o.40 grams per mile. numbers in the boxes. (a) What is the 6oth percentile for NOX exhaust, rounded to four decimal places? (b) Find the interquartile range for the distribution of NOX levels in the exhaust of trucks rounded teo four decimal places.

Explanation / Answer

Ans:

Given that

mean=1.45 and standard deviation=0.40

a)

P(Z<=z)=0.60

z=normsinv(0.6)=0.2533

P60=1.45+0.2533*0.40

P60=1.55

b)z cut off values for middle 50% are -0.6745 and 0.6745

lower cut off=1.45-0.6745*0.40=1.1802

upper cut off=1.45+0.6745*0.40=1.7198

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