Elementary Statistics 6th Edition Allan Bluman Solutions Manual

Chapter 2 - Frequency Distributions and GraphsElementary Statistics 6th Edition Allan Bluman SOLUTIONS MANUAL Full clear download (no error formatting) at: http://testbanklive.com/download/elementary-statistics-6th-edition-allan- bluman-solutions-manual/ EXERCISE SET 2-2 8. H œ 36 L œ 7 Range œ 36 7 œ 29 1. Frequency distributions are used to Width œ 29 ƒ 6 œ 4.83 or 5 organize data in a meaningful way, to facilitate computational procedures for Limits Boundaries f cf statistics, to make it easier to draw charts 7 - 11 6.5 - 11.5 2 2 and graphs, and to make comparisons among 12 - 16 11.5 - 16.5 5 7 different sets of data. 17 - 21 16.5 - 21.5 9 16 22 - 26 21.5 - 26.5 2 18 2. Categorical distributions are used with 27 - 31 26.5 - 31.5 0 18 nominal or ordinal data, ungrouped 32 - 36 31.5 - 36.5 1 19 distributions are used with data having a 19 small range, and grouped distributions are used when the range of the data is large. 9. Limits Boundaries f cf 3. 19 - 21 18.5 - 21.5 2 2 a. ""Þ& ")Þ&ß # œ $! # œ "&ß 22 - 24 21.5 - 24.5 13 15 ")Þ& ""Þ& œ ( 25 - 27 24.5 - 27.5 11 26 28 - 30 27.5 - 30.5 3 29 b. &&Þ& (%Þ&ß # œ "$! # œ '&ß 31 - 33 30.5 - 33.51 30 (%Þ& &&Þ& œ "* 30 c. '*%Þ& (!&Þ&ß # œ "%!! # œ (!!ß The average speed is about 24.5 mph. (!&Þ& '*%Þ& œ "" d. "$Þ&& "%Þ(&ß "$Þ # "%Þ( œ #)Þ$ # œ "%Þ"&ß 10. H œ 11,588 L œ 164 "%Þ(& "$Þ&& œ "Þ# Range œ 11,588 164 œ 11,424 e. #Þ"%& $Þ*$&ß # œ 'Þ!) # œ $Þ!%ß Width œ 11,424 ƒ 10 œ 1142.4 $Þ*$& #Þ"%& œ "Þ(* Width œ 1143 4. Five to twenty classes. Width should be Limits Boundaries f cf an odd number so that the midpoint will 164 - 1306 163.5 - 1306.5 25 25 have the same place value as the data. 1307 - 2449 1306.5 - 2449.5 12 37 2450 - 3592 2449.5 - 3592.5 5 42 5. 3593 - 4735 3592.5 - 4735.5 5 47 a. Class width is not uniform. 4736 - 5878 4735.5 - 5878.5 1 48 b. Class limits overlap, and class width is 5879 - 7021 5878.5 - 7021.5 0 48 not uniform. 7022 - 8164 7021.5 - 8164.5 0 48 c. A class has been omitted. 8165 - 9307 8164.5 - 9307.5 1 49 d. Class width is not uniform. 9308 - 10450 9307.5 - 10450.5 0 49 10451 - 11593 10450.5 - 11593.5 1 50 6. An open-ended frequency distribution has 50 either a first class with no lower limit or a last class with no upper limit. They are 7. Class Tally f Percent A necessary to accomodate all the data. 4 10% M Chapter 2 - Frequency Distributions and Graphs 28 70% The majority of the data is clustered in the first two classes. H 6 15% S 2 5% 11. H œ 780 L œ 746 40 100% Range œ 780 746 œ 34 Width œ 34 ƒ 6 œ 5.' or 6; round up to 7 Chapter 2 - Frequency Distributions and Graphs 11. continued 15. Limits Boundaries f cf Limits Boundaries f cf 31 - 39 30.5 - 39.5 4 4 745 - 751 744.5 - 751.5 4 4 40 - 48 39.5 - 48.5 5 9 752 - 758 751.5 - 758.5 5 9 49 - 57 48.5 - 57.5 5 14 759 - 765 758.5 - 765.5 7 16 58 - 66 57.5 - 66.5 12 26 766 - 772 765.5 - 772.5 11 27 67 - 75 66.5 - 75.5 13 39 773 - 779 772.5 - 779.5 2 29 76 - 84 75.5 - 84.5 5 44 780 - 786 779.5 - 786.5 1 30 85 - 93 84.5 - 93.5 3 47 30 47 12. H œ 93 L œ 0 16. H œ 775 L œ 5 Range œ 93 0 œ 93 Width œ 775 5 œ 770 Width œ 93 ƒ 7 ¸ 13.29 or 14 Range œ 770 ƒ 8 œ 96.25 or 97 Use w œ 15 for odd number. Limits Boundaries f cf Limits Boundaries f cf 5 - 101 4.5 - 101.5 17 17 0 - 14 -0.5 - 14.5 14 14 102 - 198 101.5 - 198.5 6 23 15 - 29 14.5 - 29.5 10 24 199 - 295 198.5 - 295.5 6 29 30 - 44 29.5 - 44.5 4 28 296 - 392 295.5 - 392.5 2 31 45 - 59 44.5 - 59.5 1 29 393 - 489 392.5 - 489.5 2 33 60 - 74 59.5 - 74.5 1 30 490 - 586 489.5 - 586.5 3 36 75 - 89 74.5 - 89.5 2 32 587 - 683 586.5 - 683.5 1 37 90 - 104 89.5 - 104.5 1 33 684 - 780 683.5 - 780.5 2 39 33 39 13. H œ 70 L œ 27 17. H œ 11,413 L œ 150 Range œ 70 27 œ 43 Range œ 11,413 150 œ 11,263 Width œ 43 ƒ 7 œ 6.1 or 7 Width œ 11,263 ƒ 10 œ 1126.3 or 1127 Limits Boundaries f cf Limits Boundaries f cf 27 - 33 26.5 - 33.5 7 7 150 - 1276 149.5 - 1276.5 2 2 34 - 40 33.5 - 40.5 14 21 1277 - 2403 1276.5 - 2403.5 2 4 41 - 47 40.5 - 47.5 15 36 2404 - 3530 2403.5 - 3530.5 5 9 48 - 54 47.5 - 54.5 11 47 3531 - 4657 3530.5 - 4657.5 8 17 55 - 61 54.5 - 61.5 3 50 4658 - 5784 4657.5 - 5784.5 7 24 62 - 68 61.5 - 68.5 3 53 5785 - 6911 5784.5 - 6911.5 3 27 69 - 75 68.5 - 75.5 2 55 6912 - 8038 6911.5 - 8038.5 7 34 55 8039 - 9165 8038.5 - 9165.5 3 37 9166 - 10,292 9165.5 - 10,292.5 3 40 14. H œ 4040 L œ 70 10,293 - 11,419 10,292.5 - 11,419.5 2 42 Range œ 4040 70 œ 3970 42 Width œ 3970 ƒ 8 œ 496.25 or 497 18. Limits Boundaries f cf H œ 550 L œ 306 70 - 566 69.5 - 566.5 14 14 Range œ 550 306 œ 244 567 - 1063 566.5 - 1063.5 5 19 Width œ 244 ƒ 8 œ 30.5 or 31 1064 - 1560 1063.5 - 1560.5 5 24 1561 - 2057 1560.5 - 2057.5 0 24 2058 - 2554 2057.5 - 2554.5 0 24 2555 - 3051 2554.5 - 3051.5 1 25 3052 - 3548 3051.5 - 3548.5 0 25 3549 - 4045 3548.5 - 4045.5 2 27 27 Chapter 2 - Frequency Distributions and Graphs 18. continued 2. continued fM , cfM = McGwire fS , cfS œ Sosa 25 Limits Boundaries fM cfM fS cfS 20 frequency 10 306 337 - 336 367 305.5 336.5 - 336.5 367.5 16 17 0 10 0 10 15 5 368 - 398 367.5 - 398.5 19 26 16 26 0 399 - 429 398.5 - 429.5 15 41 21 47 0 3 8 13 18 23 28 33 430 - 460 429.5 - 460.5 18 59 15 62 Years of Service 461 - 491 460.5 - 491.5 6 65 3 65 cumulative frequency 492 - 522 491.5 - 522.5 3 68 1 66 80 60 523 - 553 522.5 - 553.5 2 70 0 66 40 70 66 20 0 0.5 5.5 10.5 15.5 20.5 25.5 30.5 19. The percents add up to 101%. They Years of Service should total 100% unless rounding was used. The majority of employees have worked for EXERCISE SET 2-3 less than 11 years. 1. 3. 50 30 40 25 frequency 30 20 20 10 0 frequency 15 89.5- 98.5- 107.5- 116.5- 125.5- 10 98.5 107.5 116.5 125.5 134.5 5 I.Q. 0 201.5-204.5 204.5-207.5 207.5-210.5 210.5-213.5 213.5-216.5 216.5-219.5 Scores 60 frequency 40 30 20 25 0 20 85 94 103 112 121 130 139 frequency 15 I.Q. 10 5 120 cumulative frequency 0 100 201 203 206 209 212 215 218 221 80 Scores 60 40 20 0 80 89.5 98.5 107.5 116.5 125.5 134.5 70 I.Q. cumulative frequency 60 50 Eighty applicants do not need to enroll in the 40 30 summer programs. 20 10 2. 0 201.5 204.5 207.5 210.5 213.5 216.5 219.5 Scores 25 frequency 20 15 10 The distribution appears to be slightly left 5 0 skewed. 0.5- 5.5- 10.5- 15.5- 20.5- 25.5- 5.5 10.5 15.5 20.5 25.5 30.5 Years of Service Chapter 2 - Frequency Distributions and Graphs 4. 6. 14 15 12 fre qu e n cy frequency 10 10 8 6 5 4 2 0 6 9 .5 - 5 6 6 .5 - 1 0 6 3 .5 - 1 5 6 0 .5 - 2 0 5 7 .5 - 2 5 5 4 .5 - 3 0 5 1 .5 - 3 5 4 8 .4 - 0 5 6 6 .5 1 0 6 3 .5 1 5 6 0 .5 2 0 5 7 .5 2 5 5 4 .5 3 0 5 1 .5 3 5 4 8 .5 4 0 4 5 .5 39.85- 42.85 42.85- 45.85 45.85- 48.85 48.85- 51.85 51.85- 54.85 54.85- 57.85 F a ta l i ti e s M illio n s o f D o lla rs 14 15 f r e q u e n cy 12 10 10 frequency 8 5 6 0 4 0 3 18 815 1 3 1 2 1 3 0 9 2 3 0 6 2 8 03 3 3 0 0 3 7 9 7 2 Fatalit ie s 0 38.35 41.35 44.35 47.35 50.35 53.35 56.35 59.35 M illions of Dollar s 30 20 35 cf 10 30 cumulative frequency 25 0 69.5 566.5 1063.5 1560.5 2057.5 2554.5 3051.5 3548.5 4045.5 20 15 Fatalities 10 5 The data are clustered to the left. There are 0 38.85 42.85 45.85 48.85 51.85 54.85 57.85 two gaps in the histogram, one between Millions of Dollars 1560.5 and 2554.5 and the other between 3051.5 and 3548.5. The ogive shows a The distribution is left skewed or negatively sharp increase in values at the beginning, skewed. followed by a leveling off of values. 5. 7. 15 frequency 25 10 5 20 frequency 0 15 7.5- 12.5- 17.5- 22.5- 27.5- 10 12.5 17.5 22.5 27.5 32.5 5 MPG 0 -0.5- 27.5- 55.5- 83.5- 111.5- 139.5- 167.5- 27.5 55.5 83.5 111.5 139.5 167.5 195.5 15 Air Quality (Days ) - 1993 frequency 10 5 20 0 15 frequency 5 10 15 20 25 30 35 MPG 10 5 30 0 -0.5- 27.5- 55.5- 83.5- 111.5- 139.5- 167.5- 20 27.5 55.5 83.5 111.5 139.5 167.5 195.5 10 Air Qu alit y (Days ) - 2002 cumulative frequency Chapter 2 - Frequency Distributions and Graphs 0 7.5 12.5 17.5 22.5 27.5 32.5 MPG Chapter 2 - Frequency Distributions and Graphs 7. continued 9. continued Both graphs are similar in that they are 15 positively skewed. Also, it looks as if the air frequency quality has improved somewhat in that there 10 are slightly more smaller values in 2002, 5 which means fewer days with unacceptable 0 levels of pollution. 35 44 53 62 71 80 89 8. Age 12 10 cumulative frequency 50 frequency 8 6 40 4 2 30 0 20 2.25- 2.95- 3.65- 4.35- 5.05- 5.75- 2.95 3.65 4.35 5.05 5.75 6.45 10 Tim e 0 30.5 39.5 48.5 57.5 66.5 75.5 84.5 93.5 Age 15 frequency 10 5 The histogram has a peak at the class of 66.5 75.5 and is somewhat negatively 0 1.9 2.6 3.3 4.0 4.7 5.4 6.1 6.8 skewed. Tim e 10. 20 cumulative frequency 50 15 frequency 40 30 10 20 5 10 0 0 17.5 - 22.5 - 27.5 - 32.5 - 37.5 - 42.5 - 2.25 2.95 3.65 4.35 5.05 5.75 6.45 22.5 27.5 32.5 37.5 42.5 47.5 Tim e % At or Above Re ading Le ve l The data values fall somewhat on the left side of the distribution. The histogram is 20 frequency right skewed. There are no gaps in the 15 10 histogram. 5 0 9. 17.5 - 22.5 - 27.5 - 32.5 - 37.5 - 42.5 - 22.5 27.5 32.5 37.5 42.5 47.5 15 % At or Above M ath Le ve l frequency 10 5 The distribution of math percentages is more 0 bell-shaped than the distribution of reading 30.5 - 39.5 - 48.5 - 57.5 - 66.5 - 75.5 - 84.5 - 39.5 48.5 57.5 66.5 75.5 84.5 93.5 percentages, and its peak in the class of Age 32.5 37.5 is not as high as the peak of the reading percentages. 11. 20 15 frequency 10 5 101.5 198.5 295.5 392.5 0 4.5- 101.5- 198.5- 295.5- Chapter 2 - Frequency Distributions and Graphs 392.5- 489.5- 586.5- 683.5- 489.5 586.5 683.5 780.5 Acre s Chapter 2 - Frequency Distributions and Graphs 11. continued 13. continued 20 relative frequency 0.4 frequency 15 0.3 10 5 0.2 0 0.1 53 150 247 344 441 538 635 732 829 0 Acre s 85 94 103 112 121 130 139 I. Q. cumulative frequency 40 30 20 cumulative relative 1 10 0.8 frequency 0 0.6 4.5 101.5 198.5 295.5 392.5 489.5 586.5 683.5 780.5 0.4 Acr e s 0.2 0 The peak is in the first class, and then the 89.5 98.5 107.5 116.5 125.5 134.5 histogram is rather uniform after the first I. Q. class. Most of the parks have less than 101.5 thousand acres as compared with any The proportion of applicants who need to other class of values. enroll in a summer program is 0.26 or 26%. 12. 14. relative frequency 0.4 f r e q u e n cy 20 0.3 0.2 10 0.1 0 0 305.5- 336.5- 367.5- 398.5- 429.5- 460.5- 491.5- 522.5- 0.5- 5.5- 10.5- 15.5- 20.5- 25.5- 336.5 367.5 398.5 429.5 460.5 491.5 522.5 553.5 5.5 10.5 15.5 20.5 25.5 30.5 Ye ar s Feet - McGwire 0.4 relative frequency 0.3 fr e q u e n cy 30 20 0.2 10 0.1 0 305.5 - 336.5 - 367.5 - 398.5 - 429.5 - 460.5 - 491.5 - 522.5 - 0 336.5 367.5 398.5 429.5 460.5 491.5 522.5 553.5 3 8 13 18 23 28 33 38 Feet - Sosa Ye ars The histograms show that the distances of 1 McGwire's homeruns are more variable 0.8 cumulative relative (spread out) than Sosa's homerun distances. 0.6 frequency 0.4 13. 0.2 relative frequency 0 0.4 0.5 5.5 10.5 15.5 20.5 25.5 30.5 0.3 0.2 Ye ar s 0.1 0 89.5- 98.5- 107.5- 116.5- 125.5- The proportion of employees who have been 98.5 107.5 116.5 125.5 134.5 with the company longer than 20 years is I. Q. 0.187 or 18.7%. 15. H œ 270 L œ 80 Range œ 270 80 œ 190 Width œ 190 ƒ 7 œ 27.1 or 28 Chapter 2 - Frequency Distributions and Graphs Use width œ 29 (rule 2) Chapter 2 - Frequency Distributions and Graphs 15. contin ued 16. continued Limits Boundaries f rf crf 80 - 108 79.5 - 108.5 8 0.17 0.17 0.45 0.4 109 - 137 108.5 - 137.5 13 0.28 0.45 0.35 0.3 138 - 166 137.5 - 166.5 2 0.04 0.49 relative frequency 0.25 0.2 167 - 195 166.5 - 195.5 9 0.20 0.69 0.15 0.1 196 - 224 195.5 - 224.5 10 0.22 0.91 0.05 0 225 - 253 224.5 - 253.5 2 0.04 0.95 11.5-19.5 19.5-27.5 27.5-35.5 35.5-43.5 43.5-51.5 51.5-59.5 254 - 282 253.5 - 282.5 2 0.04 0.99* Gr am s 0.99 0.45 0.4 *due to rounding 0.35 relative frequency 0.3 0.25 0.2 0.3 0.15 0.25 0.1 relative frequency 0.05 0.2 0 0.15 7.5 15.5 23.5 31.5 39.5 47.5 55.5 63.5 0.1 Gram s 0.05 0 79.5-108.5 108.5-137.5 137.5-166.5 166.5-195.5 195.5-224.5 224.5-253.5 153.5-282.5 1.2 Calorie s 1 0.8 cumulative relative 0.3 0.6 frequency 0.25 0.4 relative frequency 0.2 0.2 0.15 0 0.1 11.5 19.5 27.5 35.5 43.5 51.5 59.5 0.05 Gram s 0 65 94 123 152 181 210 239 268 297 Calorie s The histogram is positively skewed. 1.2 17. cumulative relative frequency 1 Boundaries rf crf 0.8 0.6 -0.5 - 27.5 0.63 0.63 0.4 27.5 - 55.5 0.20 0.83 0.2 55.5 - 83.5 0.07 0.90 0 79.5 108.5 137.5 166.5 195.5 224.5 253.5 282.5 83.5 - 111.5 0.00 0.90 Calories 111.5 - 139.5 0.00 0.90 139.5 - 167.5 0.10 1.00 The histogram has two peaks. 167.5 - 195.5 0.00 1.00 100.0 16. H œ 57 L œ 12 Range œ 57 12 œ 45 Width œ 45 ƒ 6 œ 7.5 or 8 Limits Boundaries f rf crf 12 - 19 11.5 - 19.5 7 0.175 0.175 20 - 27 19.5 - 27.5 17 0.425 0.600 28 - 35 27.5 - 35.5 10 0.25 0.850 36 - 43 35.5 - 43.5 4 0.10 0.950 44 - 51 43.5 - 51.5 1 0.025 0.975 52 - 59 51.5 - 59.5 1 0.025 1.000 40 1.000 Chapter 2 - Frequency Distributions and Graphs 17. continued 18. continued 0.7 50 relative frequency 0.6 f r e q u e n cy 40 0.5 0.4 30 0.3 20 0.2 0.1 10 0 0 2.25 2.95 3.65 4.35 5.05 5.75 6.45 -0.5- 27.5- 55.5- 83.5- 111.5- 139.5- 167.5- 27.5 55.5 83.5 111.5 139.5 167.5 195.5 Seconds Air Quality (Days ) - 2002 Based on the histograms, the older dogs have longer reaction times. Also, the 0.7 0.6 reaction times for older dogs is more relative frequency 0.5 variable. 0.4 0.3 19. 0.2 0.1 Limits Boundaries Xm f cf 0 22 - 24 21.5 - 24.5 23 1 1 13.5 41.5 69.5 97.5 126 154 182 25 - 27 24.5 - 27.5 26 3 4 Air Quality (Days ) - 2002 28 - 30 27.5 - 30.5 29 0 4 31 - 33 30.5 - 33.5 32 6 10 34 - 36 33.5 - 36.5 35 5 15 cumulative relative 1.2 37 - 39 36.5 - 39.5 38 3 18 frequency 1 40 - 42 39.5 - 42.5 41 2 20 0.8 0.6 20 0.4 0.2 8 fr e q u e n cy 0 6 -0.5 27.5 55.5 83.5 112 140 168 196 4 Air Quality (Days ) - 2002 2 0 23 26 29 32 35 38 41 18. Seconds 20 f r e q u e n cy 15 25 10 f r e q u e n cy 20 5 15 0 10 2.25- 2.95 2.95- 3.65 3.65- 4.35 4.35- 5.05 5.05- 5.75 5.75- 6.45 5 0 Seconds 21.5 24.5 27.5 30.5 33.5 36.5 39.5 42.5 Seconds 20 f r e q u e n cy 15 20. a. 10 0 b. 5 0 14 c. 2.6 3.3 4 4.7 5.4 6.1 10 d. Seconds 16 Chapter 2 - Frequency Distributions and Graphs EXERCISE SET 2-4 5. 50 1. 40 Percent 30 70 20 60 10 50 0 Percent 40 Petroleum Coal Dry Natural Hy droelectric Nuclear Other Gas 30 20 10 Drug Violent Property Weapons Other Immigration 6. Of f enses Of f enses Of f enses 11 Number of Departures 10.5 The majority of the money should be spent 10 9.5 for drug rehabilitation. 9 8.5 8 7.5 2. 7 1996 1997 1998 1999 2000 2001 2002 6 Ye ar Homicides (per 100,000) 5 4 Departures increased until 2000, decreased 3 in 2001, then increased in 2002. 2 1 7. Consumption (in billions) 0 11 PA NY CT NJ ME 10.5 10 State 9.5 9 3. 8.5 8 300 1995 1996 1997 1998 1999 2000 2001 2002 250 Ye ar 200 100 There is a steady increase in consumption of 50 tobacco products. 0 Homes Lg. Companies Sm. Schools Govt . Companies Agencies Lo cat i o n 8. Number of Reactors 110 The best place to market products would be 108 106 to residential users. 104 102 4. 100 1992 1994 1996 1998 2000 2002 700 Year 600 500 Number 400 300 9. 200 120 100 100 0 80 Percent North Europe A sia South Australia Af rica America America 60 40 20 0 1964 1968 1972 1976 1980 1984 1988 1992 1996 2 000 The graph shows a decline in the percentages of registered voters voting in presidential elections. Chapter 2 - Frequency Distributions and Graphs 10. 12. continued Personal Business 146 14.6% 52.56° Calcium Visit friends or family 330 33.0% 118.8° 4.7% Other 7.8% Work-related 225 22.5% 81.0° Iron 6.2% Leisure 299 29.9% 107.64° Aluminum Oxygen 45.6% 8.4% 1000 100% 360° Silicon Pe r s o n a l 27.3% L e is u r e 1 4 .6 % 2 9 .9 % V is it W ork 3 3 .0 % 13. 2 2 .5 % Career change 34% 122.4° New job 29% 104.4° Start business 21% 75.6° About 3" of the travelers visit friends or Retire 16% 57.6° relatives, with the fewest travelling for 100% 360.0° personal business. 11. Pie chart: Principal Residence 7.8% 28.08° Retire Liquid Assets 5.0% 18.0° 16.0% Career change Pension Accounts 6.9% 24.84° 34.0% Stocks, Funds, and Trusts 31.6% 113.76° Start business 21.0% Business & Real Estate 46.9% 168.84° Miscellaneous 1.8% 6.48° New job 100.0% 360.00° 29.0% Pareto chart: Pr i nci pal Resi dence Mi scel l aneous 7.8% 1. 8% 40% Li qui d Asset s 5. 0% 35% 30% Pensi on Account s 6. 9% 25% 20% Busi ness &Real Est at e 15% 46. 9% 10% 5% Stock, Funds, &T r ust s 0% 31. 6% Career change New job Start business Retire The pie graph better represents the data since we are looking at parts of a whole. 14. a. time series graph 12. b. pie graph Oxygen 45.6% 164.16° c. Pareto chart Silicon 27.3% 98.28° d. pie graph Aluminum 8.4% 30.24° e. time series graph Iron 6.2% 22.32° f. Pareto chart Calcium 4.7% 16.92° Other 7.8% 28.08° 100.0% 360.00° Chapter 2 - Frequency Distributions and Graphs 15. 19. 4 2 3 1 3 4 8 9 4 6 6 7 8 9 9 2 5 8 9 5 0 1 1 1 1 2 2 4 4 4 4 4 3 2 8 5 5 5 5 5 6 6 6 7 7 7 7 8 4 1 6 0 1 1 1 2 4 4 6 5 8 9 20. 40 The distribution is somewhat symmetric and unimodal. The majority of the Presidents 30 were in their 50's when inaugurated. U. S. 20 Japan 10 16. $ ) 0 1993 1994 1995 1996 1997 % " & ! ! # $ $ ' ) * ' ' ) * * The United States has many more launches ( ! ! $ % & ) than Japan. The number of launches is ) ! " $ $ % % % & ( * * * relatively stable for Japan, while launches * ! # % varied more for the U. S. The U. S. launches decreased slightly in 1995 and The majority of automobile thefts occurred increased after that year. in the 50's and 80's . The data is grouped towards the higher end of the distribution. 21. 1500 17. Variety 1 Variety 2 1000 V eal # " $ ) Lamb 500 $ ! # & * ) ) & # $ ' ) 0 $ $ " % " # & & 1950 1960 1970 1980 1990 * * ) & $ $ # " ! & ! $ & & ' ( * ' # # In 1950, veal production was considerably The distributions are similar but variety 2 higher than lamb. By 1970, production was seems to be more variable than variety 1. approximately the same for both. 18. 22. Females Males 800 700 Number of Aircraft 5 0 3 600 500 1 5 9 400 300 2 2 200 100 7 4 3 2 0 3 1 1 0 6 4 1 4 6 6 9 6 3 0 5 2 6 6 6 9 8 5 6 0 0 6 6 7 2 0 7 7 8 7 6 6 0 0 8 7 8 A Pareto chart is most appropriate. 4 2 9 6 8 The distribution for unemployed males is more variable than the distribution for Chapter 2 - Frequency Distributions and Graphs unemployed females. There are more unemployed females than males world-wide. Chapter 2 - Frequency Distributions and Graphs 23. 4. 90 Number of Winners 80 60 f ootballs baseballs 50 40 20% 16% 30 20 10 soccer golf balls 0 balls 20% 20% tennis balls 24% 24. The bottle for 2004 is much wider, More tennis balls were sold than any other giving a distorted view of the difference type of ball. since only the heights of the bottles should be compared. 5. Class f cf 25. The values on the C axis start at 3.5. 11 1 1 Also there are no data values shown for the 12 2 3 years 2004 through 2011. 13 2 5 14 2 7 REVIEW EXERCISES - CHAPTER 2 15 1 8 16 2 10 1. 17 4 14 Class f 18 2 16 Newspaper 10 19 2 18 Television 16 20 1 19 Radio 12 21 0 19 22 1 20 Internet 12 20 50 2. 6. How Pe ople Re ce ive Ne w s 4 3.5 Internet New spaper frequency 3 24% 20% 2.5 2 1.5 Radio Television 32% 1 24% 0.5 14.5-15.5 15.5-16.5 16.5-17.5 17.5-18.5 18.5-19.5 12.5-13.5 0 10.5-11.5 11.5-12.5 13.5-14.5 19.5-20.5 20.5-21.5 21.5-22.5 3. B.U.N. Count Class f baseball 4 golf ball 5 tennis ball 6 4 soccer ball 5 3 frequency 2 football 5 1 25 20 22 0 12 14 16 10 18 B. U. N. Count Chapter 2 - Frequency Distributions and Graphs 6. continued 8. continued The distribution is negatively skewed with 20 most of the data in the two classes cumulative frequency 15 10 147.5 168.5 and 168.5 189.5. 5 0 9. 10.5 12.5 14.5 16.5 18.5 20.5 22.5 Limits Boundaries f cf B. U. N. Count 170 - 188 169.5 - 188.5 11 11 189 - 207 188.5 - 207.5 9 20 The distribution is somewhat uniform, with a 208 - 226 207.5 - 226.5 4 24 slight peak in the 16.5 - 17.5 class. There is 227 - 245 226.5 - 245.5 5 29 a gap in the 20.5 - 21.5 class. 246 - 264 245.5 - 264.5 0 29 265 - 283 264.5 - 283.5 0 29 7. 284 - 302 283.5 - 302.5 0 29 Limits Boundaries f cf 303 - 321 302.5 - 321.5 1 30 85 - 105 84.5 - 105.5 4 4 30 106 - 126 105.5 - 126.5 7 11 127 - 147 126.5 - 147.5 9 20 10. 148 - 168 147.5 - 168.5 10 30 169 - 189 168.5 - 189.5 9 39 15 f r e q u e n cy 190 - 210 189.5 - 210.5 1 40 10 5 40 0 169.5- 188.5- 207.5- 226.5- 245.5- 264.5- 283.5- 302.5- 8. 188.5 207.5 226.5 245.5 264.5 283.5 302.5 321.5 12 Millions of Dollars 10 frequency 8 15 4 f r e q u e n cy 2 10 0 84.5- 105.5- 126.5- 147.5- 168.5- 189.5- 5 105.5 126.5 147.5 168.5 189.5 210.5 0 Cos t p e r M o to r is t 179 198 217 236 255 274 293 312 Millions of Dollars 12 10 8 frequency 40 6 fr e q u e n cy 30 4 20 2 0 10 95 116 137 158 179 200 0 Co s t p e r M otor is t 169.5 188.5 207.5 226.5 245.5 264.5 283.5 302.5 321.5 Millions of Dollars 45 The typical value of the franchises is 40 35 between $169.5 - $188.5 million. All but 30 one of the franchises are valued between frequency 25 20 $169.5 and $245.5 million. 15 10 5 0 84.5 105.5 126.5 147.5 168.5 189.5 210.5 Cos t pe r M otor is t Chapter 2 - Frequency Distributions and Graphs 11. 13. 900 0.3 Number of homicides 800 relative frequency 0.25 700 600 0.2 500 400 0.15 300 200 0.1 100 0.05 0 0 Chicago New Washington, Baltimore Atlanta Orleans D. C. 84.5 - 105.5 - 126.5 - 147.5 - 168.5 - 189.5 - City 105.5 126.5 147.5 168.5 189.5 210.5 Cos t Pe r V e hicle 14. 0.25 500 relative frequency 0.2 400 300 0.15 200 100 0.1 0 0.05 0 95 116 137 158 179 200 Cos t Pe r V e hicle 1 cumulative relative 0.8 15. frequency 0.6 0.4 6 0.2 5 4 0 Wage 3 84.5 105.5 126.5 147.5 168.5 189.5 210.5 2 Cos t Pe r Ve hicle 1 0 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 12. Ye ar re la ti ve fre qu e n cy 0.4 The minimum wage has increased over the 0.3 years with the largest increase occurring 0.2 between 1975 and 1980. 0.1 0 16. 169.5 - 188.5 - 207.5 - 226.5 - 245.5 - 264.5 - 283.5 - 302.5 - 188.5 207.5 226.5 245.5 264.5 283.5 302.5 321.5 250 Millions of Dollars 200 Failures 150 1993 1996 1998 2001 100 1994 1999 2002 r e lat ive f r e q u e n cy 0.4 50 0.3 0 1989 1990 1991 1995 1997 2000 1992 0.2 Ye ar 0.1 0 Failures decreased to only one failure in 1 79 1 98 21 7 234 255 274 1 93 31 2 Millions of Dollars 1997, increased slightly from 1998 to 1999, decreasing through 2001, then increasing in 2002. cu m u lat ive r e lat ive 1.5 f r e q u e n cy 1 0.5 0 169.5 188.5 207.5 226.5 245.5 264.5 283.5 302.5 321.5 Chapter 2 - Frequency Distributions and Graphs Millions of Dollars Chapter 2 - Frequency Distributions and Graphs 17. 21. 80 1 2 4 70 Firs t Debate 1 6 7 8 8 9 60 Viewers 50 Sec ond Debate 2 0 2 3 4 40 2 5 5 5 6 6 9 9 30 20 3 2 3 10 3 5 7 8 8 9 0 1992 1996 2000 2004 Ye ar The peak of the distribution is in the range of 25 29. About the same number of people watched the first and second debates in 1992 and 22. 1996. After that more people watched the 20 0 4 9 first debate than watched the second debate. 21 0 1 2 7 8 8 22 2 7 7 7 8 18. 23 0 1 3 7 8 24 1 2 2 3 7 Other Something Dif f erent 8% 25 1 1 3 4 6 12% 26 0 Extra Money Self - The distribution of aptitude scores is fairly 18% supporting 62% uniform. CHAPTER 2 QUIZ 1. False The majority of women worked to support 2. False themselves or their families. 3. False 4. True 19. 5. True 6. False Undec ided 7. False 8% 8. c. No 26% 9. c. Y es 10. b. 6 6% 11. b. 12. Categorical, ungrouped, grouped 13. 5, 20 The majority of people surveyed would like 14. categorical to spend the rest of their careers with their 15. time series present employer. 16. stem and leaf plot 17. vertical or y 20. 18. 2 9 9 Class f cf 3 2 4 5 6 8 8 H 6 6 4 1 2 3 7 7 A 5 11 5 1 3 5 8 M 6 17 6 2 2 2 3 7 C 8 25 7 2 3 25 Chapter 2 - Frequency Distributions and Graphs 19. 22. Limits Boundaries f cf House 27 - 90 26.5 - 90.5 13 13 Condominium 24% 91 - 154 90.5 - 154.5 2 15 32% 155 - 218 154.5 - 218.5 0 15 219 - 282 218.5 - 282.5 5 20 Apartment 20% 283 - 346 282.5 - 346.5 0 20 Mobile Home 24% 347 - 410 346.5 - 410.5 2 22 411 - 474 410.5 - 474.5 0 22 475 - 538 474.5 - 538.5 1 23 539 - 602 538.5 - 602.5 2 25 20. 25 Class f cf 0.5 1.5 1 1 23. 1.5 2.5 5 6 14 2.5 3.5 3 9 12 frequency 10 3.5 4.5 4 13 8 6 4 4.5 5.5 2 15 2 0 5.5 6.5 6 21 26.5 - 90.5 - 154.5 - 218.5 - 282.5 - 346.5 - 410.5 - 474.5 - 538.5 - 90.5 154.5 218.5 282.5 346.5 410.5 474.5 538.5 602.5 6.5 7.5 2 23 Num be r of M ur de r s 7.5 8.5 3 26 8.5 9.5 4 30 The distribution is positively skewed with 30 one more than half of the data values in the lowest class. 21. 14 12 6 10 frequency 8 6 Number 4 4 2 2 0 58.5 122.5 186.5 250.5 314.5 378.5 442.5 506.5 570.5 0 Num b e r o f M u r de r s 1 2 3 4 5 6 7 8 9 Ite m s Pur chas e d 30 cumulative frequency 25 20 6 15 Number 4 10 2 5 0 0 26.5 90.5 154.5 218.5 282.5 346.5 410.5 474.5 538.5 602.5 0 1 2 3 4 5 6 7 8 9 10 Num ber of M ur de rs Ite m s Pur chas e d 30 24. 25 20 Number 15 400 10 5 300 0 Tons 0.5 1.5 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 200 Ite m s Pur chas e d 100 0 Paper Iron/Steel Aluminum Yard Glass Plastics waste Chapter 2 - Frequency Distributions and Graphs 25. 560 540 520 Fatalities 500 480 460 440 420 1998 1999 2000 2001 Year Fatalities decreased in 1999 and then increased the next two years. 26. 1 5 9 2 6 8 3 1 5 8 8 9 4 1 7 8 5 3 3 4 6 2 3 7 8 7 6 9 8 6 8 9 9 8 Elementary Statistics 6th Edition Allan Bluman SOLUTIONS MANUAL Full clear download (no error formatting) at: http://testbanklive.com/download/elementary-statistics-6th-edition-allan- bluman-solutions-manual/ elementary statistics bluman 8th edition solution manual elementary statistics a step by step approach 9th edition solutions elementary statistics a step by step approach 7th edition answers elementary statistics a step by step approach solutions manual pdf elementary statistics a step by step approach solutions manual 9th edition pdf elementary statistics a step by step approach 6th edition pdf download elementary statistics a step by step approach 8th edition answers bluman statistics 7th edition pdf