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answer_key_sec_2 - AEM 211 Name Spring 2MB Seetian"...

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Unformatted text preview: AEM 211] Name: Spring 2MB Seetian: " Section 2 l.) The vice president of marketing at a large corporation is wandering haw man}r of the company's employees arrive at work before he does. He decide: tn eelleet same data by Donating the number of cars that are in the parking let when he arrives at 6:30 AM. 23 24 24 25 25 25 25 26 26 3? Find the sample mean at the data. :3 3’” WI (F33) a) Findthemedian efthe data. mad/Wt =' .35 mar {19.33) Find the range of the data. (5551—35 5”) QB? C9 13-} 69 made '= Wear; (1,4,; or. [9 Find the standard deviation at" the data. 5: 5-61»? am ff" a) e.) If the vice president wanted to eatimate the typical manber efernpleyees who arrive atworkbeferehedeea, wnnidthenieanarthemedianhea @ better statistic to use? Why ‘? Warhecatauiambw I'i't/Ll'f' afficofql bU-fiw mum-e I...) 1‘.) Is the standard deviatian or the range more reliable for these data? Wh Wat cit/Lu Mme.» - We it“ if terr afiefidcf @ ham MW 0f 3’? M5 2+} g.) Find the s—seore of the data value of3? ears. Does it confirm yotn‘ fidonfltatflie data value is mum; 15 377k!" ml.” “milk t": e A“? w are an r war/U 1 5.5;} [IE—l beer [:3 Mmfificf, 33’ 0“” LIE: W166 N 9% Mother cums-ma game Wd- (FIB) Refer to the data from Section 1, # 2 (the dollar value of the change in your pocket). :1.) Provide relevant measures of spread for this data Write a semenee describing your findings. . . . - flusofifhflhi writ vat am e- - magmas: > W“ ‘9’ (Mi) 8 aid-arm b.) If the data is mound shaped (refer to your histogram in Section 1), the empirical rule states that approximately 95% of the data lies widrin 2 standarddeviations ofthemean. Thisirnpliesthattheringeofadata set 1will be about 4 standard deviations. Check this approximation, is. divide the range by 4, is this value close to the standard deflation? @ Why do you think the approximation did or did not mrk wel for this @ @ dataset'? 9...: m; (m will cart) tug] mire/1 (Fifi) mu' m‘fm/ did afiwavlc-‘vdm mi“ be! ”flit” mflgm‘bafidfimpfflmi rule {7% m m M c.) Find the 90th and 25th percentile for this data. Describe in words what (F 3;?) these values mean. in (ctr/W)“ -.: [anthem -F0/ Wm Tau/MIMI £1.qu! if m rim u'rx rel—W bylaw ____. if a. (stamp-s Pi‘ihm 1W 95*“ Wt" It ‘7 3.) Millions of American work fl'orn offioes in their homes. Following is a sample of age data for individuals who work at home. E_---——---- -------E5- 3-} Cmnputethemeau, modiauaud modefortlflsdflta- I Egg/5253939“? 3 d‘ i '3' J J w ML” all??? a a,“ {1% : :5; EH ‘1‘ apt-1:55.25)? m fifty-55) 5 5,1? b.) The median age of the popiflation ofa]! adults is 36 years {The World Almanac, 2096}. Use the median age of the preceding data to eonuuent on wdtether the at-home workers tend to be younger or older than the population of all adults. . @ #m WW: WA 10 lx/sLtflWt’la ”W5“ than 1m populous?” aFAU ndHHj e.) Compute the first and third quartiles How would you interpret these (f 3:?) values? @ a}: (Mfiflflyfifi): 5 $15.65*? 3 25-15(01‘1 Q9 ¢3={Wafl)(201= 15 to: am; assign: s ' lac/laud 9'55 5. gusts Him m or; M“ M :: lift" 3.5.“ a? .mg, (1411., or: as?“ of berm? LIB-53:13. 4.) The results of a national survey of 1154 adults showed that on average, adults sleep 6.9 hours per day during the workweek {2WD Omnibus Sleep in America Poll). Suppose that the standard deviation is 1.2 hours. T3, @ What percentage of individuals sleep between 4.5 and 9.3 hours per day’imlfg m I'lflz’.:l'5 W g use“ are a—Fmdr‘vl'duatr stat? W W W ”+5 flflfil ”*3 “Dug/Mg' as} 27"?“ b.) What percentage of individuals sleep more than 1'15 hours per day? I- fish .94 Wt least 93% of the individuals sleep between how many hours? (PH?) .43 = 1.. fig:- (as seam-s), as Hearst”) @ Jana? (amtfi-ehm] I :11 5'9 as eat" d.) Afiume that the number of hours of sleep follows a mound shaped distribution. Calculate the percentage of individuals who sleep between I 4.5 and 9.3 hours per day, and more than 1&5 hours. Hov-r do these fisults mag to the values that you obtained in parts {a} and (b)? C1045, . . . .- . lm/ A? ram-natal as f. 0F jMEUffiLufllf ELI/0F til-5' ”l5 “it? Lorri segmtlmatst 0% at? indt'wlfiuiti W ”’5'" l"rt/it's}? Me 5.5 #5 ‘5? be 6-] fits of @ ”19ng mt” W Mali [5 F fil 591% W Ltddf H5 19 cadsladfl/ mm; radtqtdualf s #157. W l l IE .1 4-5“ 01,15 LIN/Ad and L5“ _M‘ , a mate HIP-5' it"s/d“ - I.” {l mow state {S Lust-(«YEW “WM fll'fi’ WM. 5.) A student took two national aptitude tests. The national average and standard deviation were 415 and It“), respectively, for the first test and Bit and 8, respectively, for the second test. The student scored 625 on the first test and 45 on the second test. Determine on which exam the student performed better C FLT-B) relative to t other test takers. '27."- : {Kl-tr” Z7}? (KE‘QU) a” T @m semtforfimd aw i #54” retafivcllfl W m ma -—-'“”’ {mm a. [email protected] lflffl@ E.) For each of the following arguments, explain why the conclusion dream is M valid. a.) A real estate agent notea that the mean housing price for an area is (1:19 $125381] and concludes that half of the houses in the area cost more than (P 33) that amt: describe}; WWflMm mmn waisted usi- tndt'sttc haw” mam/OI slat-a pom-t5 an} absi’t/ or he! am! it. b.) A businesswoman calculates that the median cost of the five business 'ps that she took in a month is Hill] and concludes that the total cost must 1133:) havebee $ , t - whims army! the Middle value on an M $054135 til-F Jimmyafi Wm“ can“ M “attempting?” 11; find Wt “5+: (app-Psywaerpm-slsat c.) A company executive concludes that an accountant must have made a mistake because she prepared a report saying that seat of the companies (I? employees earn less than the mean salary. 5: P35) 1 my: ls isn't a wot-fake W ma waste! iris-t M indl'fifirw #1st ataxia ppm-hr arc mm N ha I1t and Martians 34;. My” man meld be greatlg mammal ”ti sum“ d.) A restaurant owner decides that more than half of her customers prefer chocolate ice cream because chocolate is the mode when customers are @ offload their choice of chocolate, vanilla and strawberry. {P- 33 3 F2 Mmhm meow em mama ital-I’M Ma sot that” silica“ mast fiWffiM plat/{Hit Wsaniéj 55L} as (stews sf auto stwo: meow, burr W m‘ rs mtg sit/W : 35% M straw; ...
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