exam1f08_key

exam1f08_key - -----Fall 2008 Statistics 40lC Examination 1...

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Unformatted text preview: -----Fall 2008 Statistics 40lC Examination 1 (100 points) ~Name-----7+~f---NOTE: Please sho~all ~orkto obtain full credit. 1. (16) Daily carbon monoxide (CO) concentrations in the air (in ppm.) for an Eastern city in the U.S. for a period of 150 consecutive days are graphed in a box plot. Answer the questions given below: I + * I"""'" I"""'" I"""'" I"""'" I"" ," I"""'" I"""'" I"""'" I o 1234 5678 (a) Give a numerical measure of the center of the distribution of these data.(b) What is the shape of the (iistr" utioI) of the 90 measurements suggested by the boxplot? rft -~kewed. (c) What is the value of the range (statistic) for this data? 7· /)-/. {) .= b. e (d) Calculate the interquartile range of this dataset. 4.'1 -::2.0 = ~.~(e) For how many days during this period was the CO below)l{l"ppm? (,1.-:-'5)(;;;;;=-·)5 -:52 -<= 38" k,.~Co 2...0 > "'7 (f) Fot hovpnany days did the slilflif 4i~idelie between M-ppm and~ppm?"/ .~=·7S-=7--(~11?J2.~~,'t1/3-= .t:fItUts / ~D... -5 V (g) Find the 1/3rd percentile (i.e., the .00333··· quantile), of the data. ~= -3on =;? /-f ~!'01!it1 (h) What is the value of the Q(.99) point of the data? A -·5 '"/q ~II -,t;"o -7 -( -= ITt( i? h·O bd/Yl2. (~InLos Angeles, it is found that 80% of all automobiles would fail an inspection because th y had rr emissions that did not meet EPA regulations. (a) A random sample of 5 cars are inspected. Calculate the probability that at least one car will fail the inspection. Y=-=ff 0{2 Qar$ ~ai--fiv.'! ifLgkcfrdvu tlv a rv~:_/5.g) y~0}~~5 y~-/ ~pex:? I) ~1 -F(Y-o) _ 1-(;)09)°(;2.)5 -/-t croo3 :2. -=: .. 990(66 (b) Use the Normal approximation to the Binomial to find the probability that at most 90 of 100 cars...
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exam1f08_key - -----Fall 2008 Statistics 40lC Examination 1...

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