Question

Questiul The Environmental Protection agency requires that the exhaust of each model Type numbers in the boxes. of motor vehicle be tested for the level of several pollutants. The level of oxides by Part 1: 5 points of nitrogen (NOX) in the exhaust of one light truck model was found to vary Part 2: 5 points among individually trucks according to a Normal distribution with mean 1.45 40 10 points grams per mile driven and standard deviation 0.40 grams per mile. (a) What is the 10th 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 to four decimal places. Question 9

Answer 1

mean (1) = 1,45 standard deviation ( 0 0-4 9 10th poscentile for Nox exhaust corresponding to the left tail area 10% of out, the z score from normal distribution table ý -1.282 8(36-1.262) = 0.0 쨷 EtM = (-1.282) (0.4) tuus |x=0-4372 grams ) Interquartik rang =939 de corresponds to the 75% of left tail area Q. Corresponds to the 25% of left tail area corresponding to the 0.75 left tail M Inter e quartike area, z score is 0-6745 x = 76TH - (0.6745) (0-4) +145. X 21,7198 [x2 1.72 grams] Scanned with CS sca CamScanner

Corresponds 25% or ons left tail area, the ascore is -0-6745 x= zot" CH802 1. =(-0.6745) (0.4) +1.45 x=11802 Interquartile range = 93-9, = 1,7198 - 1.1802 cs Scanned with IPR = 0.5396 grimer Cam Scanner