Statistics Alive!, Student, Study Guide Edition Solution Manual

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Module 1. Math Review, Vocabulary, andSymbols2.FractionPercentageDecimal1/612.67%.1671/1010%.101/714.3%.1434.FractionPercentageDecimal1/502%.0299/10,000.99%.00991/1001%.016.a.77.94b.1086.27c.39.638.a.110.00b.12.64c.276.77

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10.a.245 (32)(4)(5)(6)120==b.(4)(5 + 3 × 2) = (4)(5 + 6) = (4)(11) = 44c.45(32)=(2)(5)+6=10+6=16+d.42(5 + 3 × 2) = 16(5 + 6) = (16)(11) = 176e.(4)(8)(22) = (32)(4)= 12812.a.√5*6+6-32-2 = 5b.(4+72-17)/6 = 6c.6-2*2+9/3 = 5d.100-10*5-5 = 45e.√(2-8)*16-2 = 614.a.98−(75)(1/3) = 98−25 = 73b..672 + (2)(1/6) = .672 + .333 = 1.005=1.00c.(1/3) + (5)(1/4) = 2.667 + 1.25 = 3.917=3.9216.a..155 + 5/2 = .155 + (5) (1/2) = .155 + 2.5 = 2.655b.3.28-3/2 = 3.28–(3) (1/2) = 3.28–1.5 = 4.78c.720/9-45 = (720) (1/9)–45 = 80–45 = 3518.

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a.b+ 20 = .5→b= .5−20→b=−19.5b.F= 1.8C+ 32→F−32 = 1.8C→(F−32)/1.8 =C. . . OR . . .C= (F−32)/1.8c.50 = 60/a→50a= 60→a= 60/50→a= 1.220.a.7 =.5b +2.5→14 = b + 5→b = 9b. 64 = 4c→c = 16c. 3a = .25V→a = (.25V)/322.a.∑(1 +N) =N1 + (N)(N) =N+N2b.∑(2X+Y) = 2∑X+∑Yc.∑(aX)2=∑(a2X2) =Na2∑X2

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Module 2. Measurement Scales2.a.Eye color = Nb.Time to solve a puzzle = Rc.Genre of favorite TV show = Nd.Level of depression = Ie.Position in starting lineup = O4.a.Favorite radio station = Nb.How much sleep you had last night = Rc.How many calories you ate today = Rd.Athletic ability = Ie.Position in graduation processional = O6.a.Type of disease = Nb.Business profit = Rc.Pass or fail status = Nd.Conscientiousness = Ie.Car brands = N8.a.Hair length = C

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b.Yearly income = Cc.How much sleep you had last night = Cd.How many calories you ate today = Ce.Athletic ability = C10.a.Amount of irritation you felt today = Cb.Number of times you felt irritated today = Dc.How many different ice cream flavors you’ve tasted = Dd.How much weight you have gained or lost in the past year = Ce.How badly you need a vacation right now = C12.a.GPA = 3.15−3.25b.Test score = 82.5−83.5c.Miles to work = 15−25d.Feet of snow = 3.125−3.375e.Shoe size = 101/2–111/214.a.IQ = 115.75−116.25b.Height = 66.45−66.55c.Age = 19.5−20.5d.Driving speed = 55−65e.Olympic performance = 9.695−9.705

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Module 3. Frequency and Percentile Tables2.Classes MissedFrequencyCumulative Frequency8132513143303427292319140554.Number TV SetsFrequencyCumulative Frequency51254224352229171680226.

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Classes MissedFrequencyRel. FrequencyCum. Rel. Frequency81.031251.0051.03125.9687543.09375.9375034.12500.8437529.28125.7187519.28125.4375005.15625.156258.Number TV SetsFrequencyCumulative FrequencyPercentCum. Percent51254.0100.042248.096.0352220.088.0291736.068.016824.032.00228.08.010.a.SecondFrequency110–1191100–109290–99180–890

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70–79260–69550–59140–49430–39320–291b.SecondFrequency111–125196–110381–95066–80551–65336–50620–352c.SecondFrequency100–119380–99160–79740–59520–394d.The 20-s interval gives the clearest picture of the data.

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12.a.b.c.2-Spam Interval5-Spam Interval10-SpamIntervalNo. SpamsFreqNo. SpamsFreqNo.SpamsFreq26-27125-29120-29424-25120-24310-19722-23115-1950-91920-21110-14218-1915-9716-1720-41214-15212-13110-1118-926-724-562-370-12d. The 5-spam interval seems most informative. The 10-spam interval might also beinformative. The 2-spam interval is not informative.14.The 75th percentile rank has 75% of the scores at or below that score. In a set of50 scores, that would be (.75)(50) = the 37.5th score. Counting up from thebottom of the table, the 37.5th score is approximately 88. Using theformula, the score is

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P(75)= 87.5 + (1/3)(37–34)(.5)P(75)= 87.5 + (1/3)(3)(.5)P(75)= 87.5 + 1(.5)P(75)= 87.5 + .5P(75)= 8816. Answers will vary.

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Even Solutions to Textbook ExercisesModule 4. Graphs and Plots2.a.StemLeaf5860 0 0 2 3 3 6 771 2 2 3 4 6 6 8 8 8 8 984 4 5 6 7 8 890 1b.c.

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4.a.StemLeaf22,410,1,1,2,2,2,3,4,5,803,4,4,5,5,6,6,7,7,8,8,8,9b.c.

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6.a. Number of children in American families = PSb. Shoe size for a random sample of men = Nc. Age of residents of a nursing home = NSd. Number of crimes committed by a random sample of citizens = PSe. Percentage of applicants admitted to a highly selective college = PS8.Positively skewed.10.Positively skewed.12.a.b.Blue = 30.59Red = 21.18Green = 17.65Purple = 14.12Pink = 8.24Orange = 4.74Yellow = 3.53

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14.a.b.16.a.Eye color in your statistics class = B, Pb.Types of tools owned by 50 H.O.H. = B, P

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c.Amount of water drunk by dogs = SL, H, Fd.Miles run by racers = SL, H, Fe.Relative positions in a contestant lineup = SL, H, FOR: No graph is appropriate for ordinal scores18.a.A,B,C, or D answers on a multiple choice test answer key = B, Pb.Diagnoses for 100 visitors to a medical clinic = B, Pc.Number of months people dated their future spouse prior to marriage = SL, H, Fd.Number of pictures a digital camera will take before the battery is exhausted = SL, H, Fe.Preferred brand of laundry detergent = B, P

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