In: Statistics and Probability
In a study of exhaust emissions from school buses, the pollution
intake by passengers was determined for a sample of 9 school buses
used in the Southern California Air Basin. The pollution intake is
the amount of exhaust emissions, in grams per person, that would be
breathed in while traveling on the bus during its usual 18-mile
trip on congested freeways from South Central LA to a magnet school
in West LA. (As a reference, the average intake of motor emissions
of carbon monoxide in the LA area is estimated to be about 0.000046
grams per person.) Here are the amounts for the 9 buses when driven
with the windows open
1.15 0.33 0.40 0.33 1.35 0.38 0.25 0.40 0.35
a) Make a stemplot. Are there outliers or strong skewness that would forbid use of the t procedures?
b) A good way to judge the effect of outliers is to do your analysis twice, once with the outliers and a second time without them. Give two 90% confidence intervals, one with all the data and one with the outliers removed, for the mean pollution intake among all school buses used in the Southern California Air Basin that travel the route investigated in the study.
c) Compare the two interval in part (b). What is the most important effect of removing the outliers?
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