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Statistics Alive!, Student, Study Guide Edition Solution Manual

Statistics Alive!, Student, Study Guide Edition Solution Manual makes studying more efficient with well-organized textbook notes.

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    Module 1. Math Review, Vocabulary, and Symbols 2. Fraction Percentage Decimal 1/6 12.67% .167 1/10 10% .10 1/7 14.3% .143 4. Fraction Percentage Decimal 1/50 2% .02 99/10,000 .99% .0099 1/100 1% .01 6. a. 77.94 b. 1086.27 c. 39.63 8. a. 110.00 b. 12.64 c. 276.77

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    10. a. 2 4 5 (3 2) (4)(5)(6) 120  = = b. (4)(5 + 3 × 2) = (4)(5 + 6) = (4)(11) = 44 c. 4 5 (3 2)=(2)(5)+6=10+6=16  +  d. 4 2 (5 + 3 × 2) = 16(5 + 6) = (16)(11) = 176 e. (4)(8)(2 2 ) = (32)(4) = 128 12. a. √5*6+6 - 3 2 - 2 = 5 b. (4+7 2 - 17)/6 = 6 c. 6 - 2*2+9/3 = 5 d. 100 - 10*5 - 5 = 45 e. √(2 - 8)*16 - 2 = 6 14. a. 98 − (75)( 1 / 3 ) = 98 − 25 = 73 b. .672 + (2)( 1 / 6 ) = .672 + .333 = 1.005 = 1.00 c. ( 1 / 3 ) + (5)( 1 / 4 ) = 2.667 + 1.25 = 3.917 = 3.92 16. a. .155 + 5/2 = .155 + (5) (1/2) = .155 + 2.5 = 2.655 b. 3.28 - 3/2 = 3.28 – (3) (1/2) = 3.28 – 1.5 = 4.78 c. 720/9 - 45 = (720) (1/9) – 45 = 80 – 45 = 35 18.

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    a. b + 20 = .5 → b = .5 − 20 → b = − 19.5 b. F = 1.8 C + 32 → F − 32 = 1.8 C → ( F − 32)/ 1.8 = C . . . OR . . . C = ( F − 32)/1.8 c. 50 = 60/ a → 50 a = 60 → a = 60/50 → a = 1.2 20. a. 7 =.5b +2.5 → 14 = b + 5 → b = 9 b. 64 = 4c → c = 16 c. 3a = .25V → a = (.25V)/3 22. a. ∑ (1 + N ) = N 1 + ( N )( N ) = N + N 2 b. ∑ (2 X + Y ) = 2 ∑ X + ∑ Y c. ∑ ( aX ) 2 = ∑ ( a 2 X 2 ) = Na 2 ∑ X 2

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    Module 2. Measurement Scales 2. a. Eye color = N b. Time to solve a puzzle = R c. Genre of favorite TV show = N d. Level of depression = I e. Position in starting lineup = O 4. a. Favorite radio station = N b. How much sleep you had last night = R c. How many calories you ate today = R d. Athletic ability = I e. Position in graduation processional = O 6. a. Type of disease = N b. Business profit = R c. Pass or fail status = N d. Conscientiousness = I e. Car brands = N 8. a. Hair length = C

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    b. Yearly income = C c. How much sleep you had last night = C d. How many calories you ate today = C e. Athletic ability = C 10. a. Amount of irritation you felt today = C b. Number of times you felt irritated today = D c. How many different ice cream flavors you’ve tasted = D d. How much weight you have gained or lost in the past year = C e. How badly you need a vacation right now = C 12. a. GPA = 3.15 − 3.25 b. Test score = 82.5 − 83.5 c. Miles to work = 15 − 25 d. Feet of snow = 3.125 − 3.375 e. Shoe size = 10 1 / 2 – 11 1 / 2 14. a. IQ = 115.75 − 116.25 b. Height = 66.45 − 66.55 c. Age = 19.5 − 20.5 d. Driving speed = 55 − 65 e. Olympic perfor mance = 9.695 − 9.705

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    Module 3. Frequency and Percentile Tables 2. Classes Missed Frequency Cumulative Frequency 8 1 32 5 1 31 4 3 30 3 4 27 2 9 23 1 9 14 0 5 5 4. Number TV Sets Frequency Cumulative Frequency 5 1 25 4 2 24 3 5 22 2 9 17 1 6 8 0 2 2 6.

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    C lasses Missed Frequency Rel. Frequency Cum. Rel. Frequency 8 1 .03125 1.00 5 1 .03125 .96875 4 3 .09375 .93750 3 4 .12500 .84375 2 9 .28125 .71875 1 9 .28125 .43750 0 5 .15625 .15625 8. Number TV Sets Frequency Cumulative Frequency Percent Cum. Percent 5 1 25 4.0 100.0 4 2 24 8.0 96.0 3 5 22 20.0 88.0 2 9 17 36.0 68.0 1 6 8 24.0 32.0 0 2 2 8.0 8.0 10. a. Second Frequency 110 – 119 1 100 – 109 2 90 – 99 1 80 – 89 0

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    70 – 79 2 60 – 69 5 50 – 59 1 40 – 49 4 30 – 39 3 20 – 29 1 b. Second Frequency 111 – 125 1 96 – 110 3 81 – 95 0 66 – 80 5 51 – 65 3 36 – 50 6 20 – 35 2 c. Second Frequency 100 – 119 3 80 – 99 1 60 – 79 7 40 – 59 5 20 – 39 4 d. The 20 - s interval gives the clearest picture of the data.

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    12. a. b. c. 2 - Spam Interval 5 - Spam Interval 10 - Spam Interval No. Spams Freq No. Spams Freq No. Spams Freq 26 - 27 1 25 - 29 1 20 - 29 4 24 - 25 1 20 - 24 3 10 - 19 7 22 - 23 1 15 - 19 5 0 - 9 19 20 - 21 1 10 - 14 2 18 - 19 1 5 - 9 7 16 - 17 2 0 - 4 12 14 - 15 2 12 - 13 1 10 - 11 1 8 - 9 2 6 - 7 2 4 - 5 6 2 - 3 7 0 - 1 2 d. The 5 - spam interval seems most informative. The 10 - spam interval might also be informative. 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 of 50 scores, that would be (.75)(50) = the 37.5th score. Counting up from the bottom of the table, the 37.5th score is approximately 88. Using the formula, 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 + .5 P (75) = 88 16. Answers will vary.

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    Even Solutions to Textbook Exercises Module 4. Graphs and Plots 2. a. Stem Leaf 5 8 6 0 0 0 2 3 3 6 7 7 1 2 2 3 4 6 6 8 8 8 8 9 8 4 4 5 6 7 8 8 9 0 1 b. c.

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    4. a. Stem Leaf 2 2,4 1 0,1,1,2,2,2,3,4,5,8 0 3,4,4,5,5,6,6,7,7,8,8,8,9 b. c.

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    6. a. Number of children in American families = PS b. Shoe size for a random sample of men = N c. Age of residents of a nursing home = NS d. Number of crimes committed by a random sample of citizens = PS e. Percentage of applicants admitted to a highly selective college = PS 8. Positively skewed. 10. Positively skewed. 12. a. b. Blue = 30.59 Red = 21.18 Green = 17.65 Purple = 14.12 Pink = 8.24 Orange = 4.74 Yellow = 3.53

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

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    c. Amount of water drunk by dogs = SL, H, F d. Miles run by racers = SL, H, F e. Relative positions in a contestant lineup = SL, H, F OR: No graph is appropriate for ordinal scores 18. a. A,B,C, or D answers on a multiple choice test answer key = B, P b. Diagnoses for 100 visitors to a medical clinic = B, P c. Number of months people dated their future spouse prior to marriage = SL, H, F d. Number of pictures a digital camera will take before the battery is exhausted = SL, H, F e. Preferred brand of laundry detergent = B, P

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