Elementary statistics 9th edition weiss test bank

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Classify the data as either qualitative or quantitative 1) For the year 2006 , a large record company reported the following sales figures for various music media 1) Media Sales ($ millions) CD 1477.3 CD single 1.8 MP3 65.9 Vinyl 2.6 Music video 531.4 Mini Disc 0.3 DVD 108.2 Cassette 3.4 What kind of data is provided by the information in the first column? A) Qualitative B) Quantitative 2) A large record company reported the following sales figures for various music media last year 2) Media Sales ($ millions) CD 1477.3 CD single 1.8 MP3 65.9 Vinyl 2.6 Music video 531.4 Mini Disc 0.3 DVD 108.2 Cassette 3.4 What kind of data is provided by the information in the second column? A) Qualitative B) Quantitative 3) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 21st Century Movie Giant Dreamboat Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 What kind of data is provided by the information in the first column? A) Qualitative B) Quantitative 3) 4) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 21st Century Movie Giant Dreamboat 4) Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 What kind of data is provided by the information in the second column? A) Qualitative B) Quantitative 5) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 21st Century Movie Giant Dreamboat 5) Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 What kind of data is provided by the information in the third column? A) Qualitative B) Quantitative 6) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 21st Century Movie Giant Dreamboat 6) Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 What kind of data is provided by the information in the fourth column? A) Qualitative B) Quantitative 7) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 22nd Century Movie Giant Dreamboat Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 What kind of data is provided by the information in the fifth column? A) Qualitative B) Quantitative 7) 8) The following table shows the average weight of offensive linemen for each given football team Team Gators Lakers Eagles Pioneers Lions Mustangs Rams Buffalos 8) Average weight (pounds) 303.52 326.78 290.61 321.96 297.35 302.49 345.88 329.24 What kind of data is provided by the information in the first column? A) Qualitative B) Quantitative 9) The following table shows the average weight of offensive linemen for each given football team Team Gators Lakers Eagles Pioneers Lions Mustangs Rams Buffalos 9) Average weight (pounds) 303.52 326.78 290.61 321.96 297.35 302.49 345.88 329.24 What kind of data is provided by the information in the second column? A) Qualitative B) Quantitative Classify the data as either discrete or continuous 10) The number of freshmen entering college in a certain year is 621 A) Discrete B) Continuous 10) 11) The average height of all freshmen entering college in a certain year is 68.4 inches A) Discrete B) Continuous 11) 12) An athlete runs 100 meters in 10.7 seconds A) Discrete 12) B) Continuous 13) The number of cars passing a busy intersection between 4:30 P.M and 6:30 P.M on a Monday is 2,200 A) Discrete B) Continuous 13) 14) The average speed of cars passing a busy intersection between 4:30 P.M and 6:30 P.M on a Friday is 32.3 mi/h A) Discrete B) Continuous 14) 15) The total number of phone calls a sales representative makes in a month is 425 A) Discrete B) Continuous 15) 16) The temperature in Manhattan at p.m on New Year's Day was 34.1°F A) Discrete B) Continuous 16) 17) What type of data is provided by the statement "Helen finished in 7th place in the ice dancing competition"? A) Discrete B) Continuous 17) 18) The following table shows the heights of the five tallest mountains in North America 18) Mountain McKinley Logan Citlaltepec St Elias Popocatepetl Height (ft) Rank 20,320 19,850 18,700 18,008 17,930 What kind of data is given in the third column of the table? A) Discrete B) Continuous 19) The following table shows the heights of the five tallest mountains in North America Mountain McKinley Logan Citlaltepec St Elias Popocatepetl Height (ft) Rank 20,320 19,850 18,700 18,008 17,930 19) What kind of data is given in the second column of the table? A) Discrete B) Continuous Identify the variable 20) For the year 2006 , a large record company reported the following sales figures for various music media Media Sales ($ millions) CD 1477.3 CD single 1.8 MP3 65.9 Vinyl 2.6 Music video 531.4 Mini Disc 0.3 DVD 108.2 Cassette 3.4 Identify the variable under consideration in the first column? A) media type B) 1477.3 C) sales D) CD 20) 21) A large record company reported the following sales figures for various music media last year 21) Media Sales ($ millions) CD 1477.3 CD single 1.8 MP3 65.9 Vinyl 2.6 Music video 531.4 Mini Disc 0.3 DVD 108.2 Cassette 3.4 Identify the variable under consideration in the second column? A) media B) $ millions C) CD single D) sales 22) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 21st Century Movie Giant Dreamboat 22) Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 Identify the variable under consideration in the first column? A) Pirate Adventure B) last week's rank C) rank this week D) movie title 23) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 21st Century Movie Giant Dreamboat Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 Identify the variable under consideration in the second column? A) movie title B) Secret Agent Files C) last week's rank D) box office sales 23) 24) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 21st Century Movie Giant Dreamboat 24) Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 Identify the variable under consideration in the third column? A) movie title B) Epic Super Hero Team C) rank D) studio name 25) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 21st Century Movie Giant Dreamboat 25) Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 Identify the variable under consideration in the fourth column? A) box office sales B) movie title C) studio name D) rank 26) The following table gives the top five movies at the box office this week Rank Last week Movie title N/A Pirate Adventure 2 Secret Agent Files Epic Super Hero Team Reptile Ride Must Love Cats Studio Movie Giant G.M.G 22nd Century Movie Giant Dreamboat 26) Box office sales ($ millions) 35.2 19.5 14.3 10.1 9.9 Identify the variable under consideration in the fifth column? A) rank B) studio C) box office sales D) movie title 27) The following table shows the average weight of offensive linemen for each given football team Team Gators Lakers Eagles Pioneers Lions Mustangs Rams Buffalos Average weight (pounds) 303.52 326.78 290.61 321.96 297.35 302.49 345.88 329.24 Identify the variable under consideration in the first column? A) pounds B) Gators C) average weight of offensive linemen D) team name 27) 28) The following table shows the average weight of offensive linemen for each given football team Team Gators Lakers Eagles Pioneers Lions Mustangs Rams Buffalos 28) Average weight (pounds) 303.52 326.78 290.61 321.96 297.35 302.49 345.88 329.24 Identify the variable under consideration in the second column? A) average weight of offensive linemen B) Gators C) pounds D) team name Tell whether the statement is true or false 29) A discrete variable always yields numerical values A) True 29) B) False 30) The possible values of a discrete variable always form a finite set A) True B) False 30) 31) A variable whose values are observed by counting something must be a discrete variable A) True B) False 31) 32) The set of possible values that a variable can take constitutes the data A) True B) False 32) 33) A discrete variable can only yield whole-number values A) True B) False 33) 34) A variable whose possible values are 1.15, 1.20, 1.25, 1.30, 1.35, 1.40, 1.45, 1.50, 1.55, 1.60, is a continuous variable A) True B) False 34) 35) A variable which can take any real-number value in the interval [ 0, ] is a continuous variable A) True B) False 35) 36) A person's blood type can be classified as A, B, AB, or O In this example, "blood type" is the variable while A, B, AB, O constitute the data A) True B) False 36) 37) Arranging the age of students in a class in from youngest to oldest yields ordinal data A) True B) False 37) Construct a frequency distribution for the given qualitative data 38) The table shows the country represented by the winner of the 10,000 meter run in the Summer Olympic Games in various years Year Country 1912 1920 1924 1928 1932 1936 1948 1952 1956 1960 1964 1968 1972 1976 1980 1984 1988 1992 A) Finland Finland Finland Finland Poland Finland Czechoslovakia Czechoslovakia USSR USSR United States Kenya Finland Finland Ethiopia Italy Morocco Morocco B) Country Finland Poland Czechoslovakia USSR United States Kenya Ethiopia Italy Morocco Frequency Country 2 1 1 Finland Poland Czechoslovakia USSR United States Kenya Ethiopia Italy Morocco C) Frequency 2 1 1 D) Country Finland Poland Czechoslovakia USSR United States Ethiopia Italy Morocco Frequency Country 2 1 Finland Poland Czechoslovakia USSR United States Kenya France Ethiopia Italy Morocco Frequency 2 1 1 38) 39) The blood types for 40 people who agreed to participate in a medical study were as follows O A A O A O B A A A O O O B A O O O A A AB O O B O O O O B AB B O A A O A O A O AB Construct a frequency distribution for the data A) Blood type Frequency O A B AB C) Blood type 20 13 Frequency O A B AB 39) 18 14 B) Blood type Frequency O A B AB D) Blood type 19 11 Frequency O A B AB 19 13 SHORT ANSWER Write the word or phrase that best completes each statement or answers the question Provide an appropriate response 40) Scott Tarnowski owns a pet grooming shop His prices for grooming dogs are based on the size of the dog His records from last year are summarized below Construct a relative frequency distribution Class Large Medium Small 40) Frequency 345 830 645 41) The results of a survey about a recent judicial appointment are given in the table below Construct a relative frequency distribution 41) Response Frequency Strongly Favor 17 Favor 38 Neutral 33 Oppose Strongly Oppose 104 42) The preschool children at Elmwood Elementary School were asked to name their favorite color The results are listed below Construct a frequency distribution and a relative frequency distribution red green green purple red green purple green purple red blue blue blue green blue green green purple blue yellow 42) MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question 43) The data in the following table show the results of a survey of college students asking which vacation destination they would choose given the eight choices shown Determine the value that should be entered in the relative frequency column for Florida 43) Destination Frequency Relative frequency Florida 23 Mexico 76 Belize 18 Puerto Rico 22 Alaska California 23 Colorado 15 Arizona 17 A) 23 B) 0.115 C) 0.0115 D) 0.23 Construct a pie chart representing the given data set 44) The following data give the distribution of the types of houses in a town containing 20,000 houses House Type Frequency Relative Frequency Cape 5000 0.25 Garrison 8000 0.35 Split 7000 0.40 A) B) 10 44) 159) A random sample of federal income tax returns is selected from the 2006 returns and a frequency histogram is constructed for the amount of federal income tax paid in 2006 The classes used to construct the histogram are 3000, 3000 6000, 6000 9000, and so on What you think the shape of the histogram will be? Explain your thinking 159) 160) Suppose that a group of professional athletes consists of 100 gymnasts and 100 basketball players What kind of distribution you think the heights of the athletes would have? Explain your thinking 160) 161) Give an example of a data set whose distribution is likely to be bimodal Describe the population from which the sample is selected and the variable that is measured for each person Explain why you think the distribution will be bimodal 161) 162) A high school teacher keeps a record of the number of days that each student attended school last year and then she constructs a relative frequency histogram What you think the shape of the distribution will be? Why? 162) 163) A population has a J-shaped distribution Two different samples of size 12 are picked from the population Two different samples of size 1000 are then picked from the population Do you think that the distribution of the two samples of size 12 will have roughly the same shape? Do you think that the distribution of the two samples of size 1000 will have roughly the same shape? Explain your thinking 163) 164) Hospital records show the age at death of patients who die while in the hospital A frequency histogram is constructed for the age at death of the people who have died at the hospital in the past five years Roughly what shape would you expect for the distribution? Why? 164) 165) A table of random numbers is used to generate 100 random integers between and Do you think that the distribution of the numbers will be roughly uniform? Why or why not? In a second experiment, a table of random numbers is used to generate two random integers between and and the sum of the two numbers is recorded This procedure is repeated 100 times Do you think that the distribution of the sums will be roughly uniform? Why or why not? 165) 166) Explain in your own words why a truncated bar graph can be misleading 166) 52 167) The bar graph below shows the number of car accidents occurring in one city in each of the years 2001 through 2006 The number of accidents dropped in 2003 after a new speed limit was imposed Why is the graph misleading? How would you redesign the graph to be less misleading? 167) 168) The bar graph below shows the average cost of renting a studio in one city in each of the years 2002 through 2006 168) By what percentage does the average price increase from 2002 to 2003? Obtain a truncated version of the graph by sliding a piece of paper over the bottom of the graph so that the bars start at 300 In the truncated graph, by what percentage does the price appear to increase from 2002 to 2003? Why is the truncated graph misleading? 53 169) A television manufacturer sold three times as many televisions in 2005 as it did in 1995 To illustrate this fact, the manufacturer draws a pictogram as shown below The television on the right is three times as tall and three times as wide as the television on the left 169) Why is this pictogram misleading? What visual impression is portrayed by the pictogram? 170) A parcel delivery service lowered its prices and finds that it has delivered twice as many parcels this year as it did last year To illustrate this fact, the manager draws a pictogram as shown below Each cube depicts a parcel The side length of the "parcel" on the right is twice the side length of the "parcel" on the left Why is this pictogram misleading? What visual impression is portrayed by the pictogram? 54 170) 171) The bar graph below shows the number of car accidents occurring in one city in each of the years 2001 through 2006 The vertical axis is truncated and as a result the graph is misleading Construct an improved version of the graph which is less misleading Use the symbol // in your graph Explain what the symbol // means 171) 172) A television manufacturer sold three times as many televisions in 1995 as it did in 1985 To illustrate this fact, the manufacturer draws a pictogram as shown below The television on the right is three times as tall and three times as wide as the television on the left 172) This pictogram is misleading because it actually gives the visual impression that nine times as many televisions were sold in 2005 as in 1995 How can the manufacturer correctly illustrate the fact that sales in 2005 were three times sales in 1995? 173) The mayor of one city has been conducting an anti-smoking campaign in high schools Each year local government researchers estimate the number of teenagers in the city who smoke The number of smokers has declined steadily in each of the past five years The mayor's office constructs a bar graph showing the number of teenage smokers in each of the past five years If the mayor wished to exaggerate the success of his anti-smoking campaign, would it be to his advantage to truncate the bar graph? Explain your thinking 55 173) Answer Key Testname: UNTITLED2 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) A B B B A A B A B A B B A B A B A A B A D C C A C C D A A B A B B B A B A B D Class Frequency Relative Frequency Large 345 0.190 Medium 830 0.456 Small 645 0.354 56 Answer Key Testname: UNTITLED2 41) Response Frequency Relative Frequency Strongly Favor 17 0.085 Favor 38 0.19 Neutral 33 0.165 Oppose 0.04 Strongly Oppose 104 0.52 42) Color Frequency Relative Frequency red 0.15 purple 0.20 blue 0.25 green 0.35 yellow 0.05 43) 44) 45) 46) 47) 48) 49) 50) 51) 52) 53) 54) 55) 56) 57) 58) 59) 60) 61) 62) B B B B B A A B Answers will vary Possible answer: The frequency distribution and the relative frequency distribution for a given set of data both have the same shape but have different scales on the vertical axis Given the scale for the frequency distribution, the scale for the relative frequency distribution is obtained by dividing each number on the vertical axis by n (the size of the data set) Answers will vary Possible answer: First calculate the relative frequency for the blood type O Relative frequency = 90/200 = 0.45 The angle is 45% of 360°, or 162° Answers will vary Possible answer: A histogram is used for quantitative data, has a continuous numerical scale on the horizontal axis, and there are no gaps between the bars A bar graph is used to represent qualitative data It does not have a continuous numerical scale on the horizontal axis, but names of the different categories There are gaps between the bars Examples of data will vary Answers will vary Possible answer: A pie chart would be more useful A pie chart clearly shows the proportion of the whole "pie" represented by each piece of pie A bar chart is more useful for comparing the sizes of different categories with each other Answers will vary Possible answer: A bar graph would be more useful A bar graph is useful for comparing the sizes of different categories with each other, since it is easy to compare the heights of different bars Answers will vary Possible answer: A pie chart would be more useful A pie chart is useful for comparing the size of each category with the whole (ie the proportion of the whole population falling in each category) A bar graph is more useful for comparing the sizes of different categories with each other Answers will vary Possible answer: Since the two groups are of different sizes, comparing the number (frequency) of managers falling into a given class with the number of employees falling in the same class would not be very meaningful It would be more useful to compare the proportion (relative frequency) of managers falling into a given class with the proportion of employees falling in the same class B B A B C 57 Answer Key Testname: UNTITLED2 63) D 64) Age Frequency 25 - 29 30 - 34 35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65) Hours Frequency 3-4 5-6 13 7-8 - 10 66) Hours Frequency 8-9 10 - 11 13 12 - 13 14 - 15 67) Score Frequency 60 - 69 70 - 79 12 80 - 89 90 - 99 68) Age Frequency 25-under 30 30-under 35 35-under 40 40-under 45 45-under 50 50-under 55 55-under 60 60-under 65 69) Hours Frequency 3-under 5-under 13 7-under 9-under 11 58 Answer Key Testname: UNTITLED2 70) Hours Frequency 8-under 10 10-under 12 13 12-under 14 14-under 16 71) Score Frequency 60-under 70 70-under 80 12 80-under 90 90-under 100 72) Charges Frequency 7.00-under 10 10.00-under 13 13.00-under 16 16.00-under 19 73) Salary Frequency 20-under 24 24-under 28 28-under 32 32-under 36 36-under 40 40-under 44 44-under 48 48-under 52 74) 75) 76) 77) 78) Share price Frequency 10-under 20 20-under 30 30-under 40 40-under 50 50-under 60 60-under 70 70-under 80 D A C C 59 Answer Key Testname: UNTITLED2 79) 50 Frequency 40 30 20 10 Number of TV Sets 80) Relative Frequency 0.5 0.4 0.3 0.2 0.1 5 Number of TV Sets 81) 50 Frequency 40 30 20 10 Number of Radios 60 Answer Key Testname: UNTITLED2 82) 0.625 Relative Frequency 0.5 0.375 0.25 0.125 Number of Radios 83) 84) 61 Answer Key Testname: UNTITLED2 85) 86) 87) 88) 89) 90) 91) 92) 93) 94) 95) 96) 97) 98) 99) 100) 101) 102) 103) 104) 105) 106) 107) 108) 109) 110) 111) C C A D C B B A B A A A A A A A C B B D B A C A D 62 Answer Key Testname: UNTITLED2 112) 113) 114) 115) 116) 117) 118) 119) 120) 121) 122) 123) B C C A A A C B B A A 0.375 Relative frequency 0.25 0.125 20 25 30 35 40 45 50 55 60 65 70 Age (years) 124) 0.375 Relative frequency 0.25 0.125 20 25 30 35 40 45 50 55 60 65 70 Age (years) 125) C 126) B 127) Answers will vary Possible answer: With too many classes it may be difficult to get a clear picture of the data and to see trends in the data - the amount of information may be overwhelming With too few classes, it may also be difficult to see important characteristics in the data as the data may have been over-summarized and too much information may have been lost 63 Answer Key Testname: UNTITLED2 128) Answers will vary Possible answer: In a frequency distribution, each observation must belong to one and only one class In Anna's table, there is overlap of the classes - it is not clear, for example, to which class the value belongs The classes could have been depicted in either of the following ways: Number of sick days taken Frequency 0-under 3-under 6-under 9-under 12 Number of sick days taken 129) a Weight (lb) 0-2 3-5 6-8 9-11 Frequency b 20-24 25-29 30-34 Weight (lb) Frequency c 20-24.9 25-29.9 30-34.9 Weight (lb) Frequency 130) 131) 132) 133) 134) 135) Frequency 20-24.99 25-29.99 30-34.99 Answers will vary Possible answer: The classes not have equal width, so it is not meaningful to compare the frequencies for the different classes The class 66-under 72 has the highest frequency because this class includes a larger range of heights than the other classes The table should be set up with equal-width classes (Although there may be one open-ended class) Answers will vary Possible answer: If the data set is very large, it may be hard to get a picture of the data from the original data Organized data summarizes the data and may enable the researcher to see patterns and trends in the data Since the organized data is only a summary of the data and does not give the exact data values, it may sometimes be preferable to use the original data, for example to find the exact value for the average Answers can vary Possible answer: Each of the five classes should have the same width, and there are 46 values (including the minimum of 28 and the maximum of 73) to be distributed evenly among the classes If 46 values are distributed evenly among classes, the width must be at least 9.2, so a round width of 10 is a good choice If a width of is used, then the five classes will not cover the range of the data Answers will vary Possible answer: A frequency histogram would be more useful A stem-and-leaf diagram would not be useful because there would be too many stems and only one or two leaves per stem If a frequency histogram was used, the data could first be grouped into an appropriate number of classes such as 2-under 6, 6-under 0, 10-under 14, 14-under 18, 18-under 22 The leaf unit would be 0.01 There would be four stems representing 3.1, 3.2, 3.3, 3.4 The stems would be 9, 10, 11, 12, 13, 14 64 Answer Key Testname: UNTITLED2 136) 18 19 20 21 22 23 137) 138) 139) 140) 141) 142) 143) 144) 145) 146) 147) 148) 149) 150) 151) 152) 153) 154) 155) 156) 157) 158) 159) 160) 161) 162) 163) 164) 897 2016 97 3793 51 528 Stem-and-leaf diagrams are awkward with data containing many digits In this case, the data contain too many digits and must be rounded to a suitable number of digits before constructing the diagram B A B D D A B A A B A B B B B B B B C B Answers will vary An example of a right skewed distribution might be the ages of all members (e.g athletes, coaches) of a gymnastics team A majority of the members would be quite young, however the older athletes and coaches will skew the distribution to the right Answers will vary Other examples besides the heights of adult women that are likely to be bell-shaped distributions would be their weights, their hat sizes, and their shoe measurements Answers will vary Possible answer: The distribution will probably be reverse J-shaped The relative frequency corresponding to the first class (0 3000) will be the highest, the relative frequency for the second class (3000 6000) will be somewhat smaller and the relative frequencies of the remaining classes will continue to decrease from one class to the next Answers will vary Possible answer: The distribution will be bimodal The population consists of two very different groups The mean height for the gymnasts will be very different from the mean height of the basketball players There will be two distinct peaks - one at the average height of the gymnasts and one at the average height of the basketball players Answers will vary Typically a bimodal distribution occurs when the population has two distinct subgroups each with its own mean Answers will vary The distribution will be either left skewed or J-shaped Answers will vary The two samples of size 1000 are likely to have similar distributions because the sample size is large Because of the large sample size, the distribution of both samples is likely to be close to the distribution of the population The two samples of size 12 may not have similar distributions because the sample size is so small Answers will vary The distribution will probably be left skewed 65 Answer Key Testname: UNTITLED2 165) Answers will vary Possible answer: The distribution of the single numbers will be roughly uniform since each integer is likely to occur 10% of the time in the long run The distribution of the sums will not be uniform since sums such as and 18 will occur less often than sums such as 166) Answers will vary Possible answer: If a bar graph is truncated, the heights of the bars will not be in the correct proportions This can create a misleading impression 167) Answers will vary Possible answer: The graph is misleading because it is truncated The scale on the vertical axis should start at zero so that the bars will be in the correct proportions A part of the vertical axis could be omitted but the symbol // should then be used to warn the reader of the modified axis 168) Answers will vary Possible answer: The average price increases by 25% from 2002 to 2003 Using the truncated graph, the price appears to double from 1994 to 1995 (i.e it appears to increase by 100%) Using the truncated graph, the differences between the bars seem bigger (relatively) than they really are 169) Answers will vary Possible answer: The area of the television on the right is nine times (not three times) the area of the television on the left The pictogram gives the visual impression that sales in 2005 were nine times the sales in 1995 170) Answers will vary Possible answer: The volume of the cube on the right is eight times (not twice) the volume of the cube on the left The pictogram gives the visual impression that eight times as many parcels were delivered this year as last year 171) Answers will vary Check students' graphs The new graph will be truncated at some point: part of the vertical axis will be omitted and this should be indicated by the symbol //, to alert the reader to this fact 172) Answers will vary Possible answer: The television on the right should have three times the area of the television on the left This does not mean that its dimensions will be three times as big (In fact, its dimensions will be times the dimensions of the television on the left) 173) Answers will vary Possible answer: Yes, when a bar graph is truncated, differences between the bars appear exaggerated 66 ... Strongly Favor 17 Favor 38 Neutral 33 Oppose Strongly Oppose 104 42) The preschool children at Elmwood Elementary School were asked to name their favorite color The results are listed below Construct... The following data represent the total number of years of formal education for 40 employees of a bank 13 16 14 12 17 18 15 17 13 13 13 17 14 11 15 16 12 19 17 16 17 19 18 17 19 12 17 15 13 14 14... class width of hours, and a lower limit of for the first class Hours Frequency 21 66) 67) On a math test, the scores of 24 students were 67) 97 72 78 66 78 78 97 88 78 66 89 72 72 89 78 72 89 78 72