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Mid-Term Stat 200 Summer 2021 v1.pdf 1 Stat 200 Mid Term Summer 2021 – 5 pages total University of Maryland Global Campus Stat 200 – Summer 2021 Mid-Term Exam This is the Mid-Term Examination for Stat 200 Summer 2021. Please show all your work. Remember, the work to obtain your solutions is as important as the solution itself. Your completed exam is due back to your assignment folder prior to 11:59 PM Tuesday, 20 July 2021 By downloading this Exam, you agree to comply with the UMGC Code of Conduct Policy 151.25 Academic Dishonesty and Plagiarism. 1. Two countries have the following GDP in $T USD shown in the chart. a. Show the % Growth for each country between 2007 and 2017 b. Draw a bar chart to show the data in the chart above. Use any tool (but not by hand!) 2. The top five (5) world economies are noted in the chart below. Based on the data, perform the following analysis: a. Calculate the % of the world economy each country represents b. Develop a pie chart representing the data. Country GDP 2017 USA $ 19.39 China $ 12.23 Japan $ 4.87 Germany $ 3.68 England $ 2.62 Rest of World $ 36.35 Figures in $T USD- Source: World Bank 2018 GDP 2007 2017 China 3.55 12.23 United States 14.47 19.39 Figures in $ T USD- Source: World Bank 2018 2 Stat 200 Mid Term Summer 2021 – 5 pages total 3. Once again, reviewing the top 5 economies in the world for 2017, the table is again presented without the rest of the world. a. Based on the GDP for 2017, please compute the mean, median and mode b. Using tools, develop a bar chart (columns) showing the T $USD for the five (5) countries above 4. The Table in this problem provides China GDP for the years 2007 through 2017 in T $USD. a. Develop a histogram/bar chart for the data above using tools in LEO or elsewhere (like Excel) b. Compute mean, median and mode for the values as they appear in the table Country GDP 2017 % World Economy USA 19.39$ 24.5% China 12.23$ 15.5% Japan 4.87$ 6.2% Germany 3.68$ 4.6% England 2.62$ 3.3% China GDP 10 Yrs Year T $USD 2007 3.6 2008 4.6 2009 5.1 2010 6.1 2011 7.6 2012 8.6 2013 9.6 2014 10.5 2015 11.1 2016 11.2 2017 12.2 3 Stat 200 Mid Term Summer 2021 – 5 pages total 5. The table below contains seven (7) sets of sample data, A through G. Calculate the mean, median and mode for each sample and fill in the table below the data: . A B C D E F G 18 10 28 91 112 255 52 16 5 28 89 106 245 42 13 9 19 81 111 252 51 14 6 20 81 107 252 43 14 6 21 87 110 252 43 22 83 108 248 43 83 109 248 50 109 249 49 249 46 51 Mean Median Mode 6. An American roulette wheel has 38 slots numbered 00, 0, 1 through 36. 18 of the slots in the 1 through 36 are colored red, and 18 are colored black. The 0 and 00 slots are considered ‘uncolored’. The wheel is spun, and a ball rounds the peripheral until gravity takes over and the ball lands in a slot. What is the probability of the ball falling into (fractional answers are acceptable for this problem): a. A black slot: b. The 0 slot: c. An odd-numbered slot: d. The number 24: 4 Stat 200 Mid Term Summer 2021 – 5 pages total 7. Take a standard 52-card deck. What is the probability of drawing the following (fractional answers are acceptable for this problem): a. Queen: b. Ace or 10: c. Any card in hearts suit: d. A Black 6: 8. Three (3) coins are tossed. Answer the following: a. What is the set of possible outcomes (write it out)? b. What is the probability of obtaining exactly 1 ‘Head’? c. What is the probability of obtaining at most 2 ‘Tails’? d. Probability of at least 1 ‘Head’? e. Probably of exactly 2 ‘Tails’? 9. A survey is taken and the following people either responded or refused to respond. The data from that survey is in the table: 18-21 23-29 30-39 40-49 50-59 60 and < responded 73 255 245 136 138 202 refused 11 20 33 16 27 49 what is the probability that someone in this survey refused to answer the survey? 10. 98 subjects were randomly selected to tested by a polygraph. the test is staged to determine the accuracy of the polygraph. the point is the testers wanted to see if the subject actually lied, and did the polygraph actually record the correct results. those results are in the table below. test results did subject actually lie? no yes totals positive 15 42 57 negative 32 9 41 totals 47 51 98 5 stat 200 mid term summer 2021 – 5 pages total a) what is the probability of choosing only one (1) subject that has a positive test result that did not lie? b) what is the probability of choosing only one (1) subject that has a negative test result and lied? (end of exam) mid-term stat 200 summer 2021 v1.docx university of maryland global campus stat 200 – summer 2021 mid-term exam this is the mid-term examination for stat 200 summer 2021. please show all your work. remember, the work to obtain your solutions is as important as the solution itself. your completed exam is due back to your assignment folder prior to 11:59 pm tuesday, 20 july 2021 by downloading this exam, you agree to comply with the umgc code of conduct policy 151.25 academic dishonesty and plagiarism. 1. two countries have the following gdp in $t usd shown in the chart. a. show the % growth for each country between 2007 and 2017 b. draw a bar chart to show the data in the chart above. use any tool (but not by hand!) 2. the top five (5) world economies are noted in the chart below. based on the data, perform the following analysis: a. calculate the % of the world economy each country represents b. develop a pie chart representing the data. country gdp 2017 usa $ 19.39 china $ 12.23 japan $ 4.87 germany $ 3.68 england $ 2.62 rest of world $ 36.35 figures in $t usd- source: world bank 2018 3. once again, reviewing the top 5 economies in the world for 2017, the table is again presented without the rest of the world. a. based on the gdp for 2017, please compute the mean, median and mode b. using tools, develop a bar chart (columns) showing the t $usd for the five (5) countries above 4. the table in this problem provides china gdp for the years 2007 through 2017 in t $usd. a. develop a histogram/bar chart for the data above using tools in leo or elsewhere (like excel) b. compute mean, median and mode for the values as they appear in the table 5. the table below contains seven (7) sets of sample data, a through g. calculate the mean, median and mode for each sample and fill in the table below the data: . a b c d e f g 18 10 28 91 112 255 52 16 5 28 89 106 245 42 13 9 19 81 111 252 51 14 6 20 81 107 252 43 14 6 21 87 110 252 43 22 83 108 248 43 83 109 248 50 109 249 49 249 46 51 mean median mode 6. an american roulette wheel has 38 slots numbered 00, 0, 1 through 36. 18 of the slots in the 1 through 36 are colored red, and 18 are colored black. the 0 and 00 slots are considered ‘uncolored’. the wheel is spun, and a ball rounds the peripheral until gravity takes over and the ball lands in a slot. what is the probability of the ball falling into (fractional answers are acceptable for this problem): a. a black slot: b. the 0 slot: c. an odd-numbered slot: d. the number 24: 7. take a standard 52-card deck. what is the probability of drawing the following (fractional answers are acceptable for this problem): a. queen: b. ace or 10: c. any card in hearts suit: d. a black 6: 8. three (3) coins are tossed. answer the responded="" 73="" 255="" 245="" 136="" 138="" 202="" refused="" 11="" 20="" 33="" 16="" 27="" 49="" what="" is="" the="" probability="" that="" someone="" in="" this="" survey="" refused="" to="" answer="" the="" survey?="" 10.="" 98="" subjects="" were="" randomly="" selected="" to="" tested="" by="" a="" polygraph.="" the="" test="" is="" staged="" to="" determine="" the="" accuracy="" of="" the="" polygraph.="" the="" point="" is="" the="" testers="" wanted="" to="" see="" if="" the="" subject="" actually="" lied,="" and="" did="" the="" polygraph="" actually="" record="" the="" correct="" results.="" those="" results="" are="" in="" the="" table="" below.="" test="" results="" did="" subject="" actually="" lie?="" no="" yes="" totals="" positive="" 15="" 42="" 57="" negative="" 32="" 9="" 41="" totals="" 47="" 51="" 98="" 5="" stat="" 200="" mid="" term="" summer="" 2021="" –="" 5="" pages="" total="" a)="" what="" is="" the="" probability="" of="" choosing="" only="" one="" (1)="" subject="" that="" has="" a="" positive="" test="" result="" that="" did="" not="" lie?="" b)="" what="" is="" the="" probability="" of="" choosing="" only="" one="" (1)="" subject="" that="" has="" a="" negative="" test="" result="" and="" lied?="" (end="" of="" exam)="" mid-term="" stat="" 200="" summer="" 2021="" v1.docx="" university="" of="" maryland="" global="" campus="" stat="" 200="" –="" summer="" 2021="" mid-term="" exam="" this="" is="" the="" mid-term="" examination="" for="" stat="" 200="" summer="" 2021.="" please="" show="" all="" your="" work.="" remember,="" the="" work="" to="" obtain="" your="" solutions="" is="" as="" important="" as="" the="" solution="" itself.="" your="" completed="" exam="" is="" due="" back="" to="" your="" assignment="" folder="" prior="" to="" 11:59="" pm="" tuesday,="" 20="" july="" 2021="" by="" downloading="" this="" exam,="" you="" agree="" to="" comply="" with="" the="" umgc="" code="" of="" conduct="" policy="" 151.25="" academic="" dishonesty="" and="" plagiarism.="" 1.="" two="" countries="" have="" the="" following="" gdp="" in="" $t="" usd="" shown="" in="" the="" chart.="" a.="" show="" the="" %="" growth="" for="" each="" country="" between="" 2007="" and="" 2017="" b.="" draw="" a="" bar="" chart="" to="" show="" the="" data="" in="" the="" chart="" above.="" use="" any="" tool="" (but="" not="" by="" hand!)="" 2.="" the="" top="" five="" (5)="" world="" economies="" are="" noted="" in="" the="" chart="" below.="" based="" on="" the="" data,="" perform="" the="" following="" analysis:="" a.="" calculate="" the="" %="" of="" the="" world="" economy="" each="" country="" represents="" b.="" develop="" a="" pie="" chart="" representing="" the="" data.="" country="" gdp="" 2017="" usa="" $="" 19.39="" china="" $="" 12.23="" japan="" $="" 4.87="" germany="" $="" 3.68="" england="" $="" 2.62="" rest="" of="" world="" $="" 36.35="" figures="" in="" $t="" usd-="" source:="" world="" bank="" 2018="" 3.="" once="" again,="" reviewing="" the="" top="" 5="" economies="" in="" the="" world="" for="" 2017,="" the="" table="" is="" again="" presented="" without="" the="" rest="" of="" the="" world.="" a.="" based="" on="" the="" gdp="" for="" 2017,="" please="" compute="" the="" mean,="" median="" and="" mode="" b.="" using="" tools,="" develop="" a="" bar="" chart="" (columns)="" showing="" the="" t="" $usd="" for="" the="" five="" (5)="" countries="" above="" 4.="" the="" table="" in="" this="" problem="" provides="" china="" gdp="" for="" the="" years="" 2007="" through="" 2017="" in="" t="" $usd.="" a.="" develop="" a="" histogram/bar="" chart="" for="" the="" data="" above="" using="" tools="" in="" leo="" or="" elsewhere="" (like="" excel)="" b.="" compute="" mean,="" median="" and="" mode="" for="" the="" values="" as="" they="" appear="" in="" the="" table="" 5.="" the="" table="" below="" contains="" seven="" (7)="" sets="" of="" sample="" data,="" a="" through="" g.="" calculate="" the="" mean,="" median="" and="" mode="" for="" each="" sample="" and="" fill="" in="" the="" table="" below="" the="" data:="" .="" a="" b="" c="" d="" e="" f="" g="" 18="" 10="" 28="" 91="" 112="" 255="" 52="" 16="" 5="" 28="" 89="" 106="" 245="" 42="" 13="" 9="" 19="" 81="" 111="" 252="" 51="" 14="" 6="" 20="" 81="" 107="" 252="" 43="" 14="" 6="" 21="" 87="" 110="" 252="" 43="" 22="" 83="" 108="" 248="" 43="" 83="" 109="" 248="" 50="" 109="" 249="" 49="" 249="" 46="" 51="" mean="" median="" mode="" 6.="" an="" american="" roulette="" wheel="" has="" 38="" slots="" numbered="" 00,="" 0,="" 1="" through="" 36.="" 18="" of="" the="" slots="" in="" the="" 1="" through="" 36="" are="" colored="" red,="" and="" 18="" are="" colored="" black.="" the="" 0="" and="" 00="" slots="" are="" considered="" ‘uncolored’.="" the="" wheel="" is="" spun,="" and="" a="" ball="" rounds="" the="" peripheral="" until="" gravity="" takes="" over="" and="" the="" ball="" lands="" in="" a="" slot.="" what="" is="" the="" probability="" of="" the="" ball="" falling="" into="" (fractional="" answers="" are="" acceptable="" for="" this="" problem):="" a.="" a="" black="" slot:="" b.="" the="" 0="" slot:="" c.="" an="" odd-numbered="" slot:="" d.="" the="" number="" 24:="" 7.="" take="" a="" standard="" 52-card="" deck.="" what="" is="" the="" probability="" of="" drawing="" the="" following="" (fractional="" answers="" are="" acceptable="" for="" this="" problem):="" a.="" queen:="" b.="" ace="" or="" 10:="" c.="" any="" card="" in="" hearts="" suit:="" d.="" a="" black="" 6:="" 8.="" three="" (3)="" coins="" are="" tossed.="" answer="">