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Review Test 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use common sense to determine whether the given event is impossible; possible, but very unlikely; or possible and likely. 1) Lori rolled three dice and got a total of 2. 1) A) Possible, but very unlikely B) Possible and likely C) Impossible 2) Luis and his sister both won more than a million dollars in lotteries last year A) Possible, but very unlikely B) Impossible C) Possible and likely 2) 3) Andre flipped a coin twice and it came up the same way both times. A) Possible, but very unlikely B) Impossible C) Possible and likely 3) 4) When Amina took a four-day Thanksgiving vacation in Seattle, it rained every day. A) Impossible B) Possible and likely C) Possible, but very unlikely 4) 5) An accountant was struck by lightening three times in his lifetime. A) Impossible B) Possible, but very unlikely C) Possible and likely 5) 6) When Dave picked two marbles from a bag containing one red, one blue, and one yellow marble, he got two marbles of the same color. (Assume that he didnʹt replace the first marble before picking the second). A) Possible, but very unlikely B) Impossible C) Possible and likely 6) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 7) Use the data in the table to answer the question. The x -values are amounts of saturated fat (in grams) in various regular two-ounce muffins. The y-values are amounts of saturated fat (in grams) in various ʺlow fatʺ two-ounce muffins. Amounts of Saturated Fat in Regular and Low-Fat Muffins x 6.2 6.2 5.5 5.5 5.3 3.6 y 1.2 2.1 1.8 2.3 2.1 2.5 Is each x-value matched with a corresponding y-value? That is, is each x-value associated with the corresponding y-value in some meaningful way? If the x- and y-values are not matched, does it make sense to use the difference between each x-value and the y-value that is in the same column? 1 7) 8) Use the data in the table to answer the question. The x -values are amounts of saturated fat (in grams) in various regular two-ounce muffins. The y-values are amounts of saturated fat (in grams) in various ʺlow fatʺ two-ounce muffins. Amounts of Saturated Fat in Regular and Low-Fat Muffins x 4.6 3.8 3.9 3.6 4.5 6.2 y 1.2 2.1 0.8 2.5 0.7 2.4 Note that the table lists measured amounts of saturated fat in two different types of muffin. Given these data, what issue can be addressed by conducting a statistical analysis of the values? 8) 9) The table shows the weights, in pounds, of seven subjects before and after following a particular diet for two months. Assume that the x-values are the weights before the diet and the y-values are the weights after the diet. Subject A B C D E F G Before 156 195 166 185 158 177 173 After 149 186 164 190 144 179 161 Are the x-values matched with the corresponding y-values? That is, is each x-value associated with the corresponding y-value in some meaningful way? If the x- and y-values are matched, does it make sense to use the difference between each x -value and the y-value that is in the same column? Why or why not? 9) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given value is a statistic or a parameter. 10) After inspecting all of 55,000 kg of meat stored at the Wurst Sausage Company, it was found that 45,000 kg of the meat was spoiled. A) Parameter B) Statistic 11) A health and fitness club surveys 40 randomly selected members and found that the average weight of those questioned is 157 lb. A) Parameter B) Statistic Determine whether the given value is from a discrete or continuous data set. 12) The number of limbs on a 2-year-old oak tree is 21. A) Continuous B) Discrete 13) The height of 2-year-old maple tree is 28.3 ft. A) Continuous B) Discrete 14) The number of stories in a Manhattan building is 22. A) Discrete B) Continuous 10) 11) 12) 13) 14) 15) The total number of phone calls a sales representative makes in a month is 425. A) Continuous B) Discrete Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 16) Temperatures of the ocean at various depths. A) Nominal B) Ratio C) Ordinal D) Interval 2 15) 16) 17) Nationalities of survey respondents. A) Interval B) Ratio C) Nominal D) Ordinal 17) 18) Ages of survey respondents. A) Interval B) Nominal C) Ordinal D) Ratio 18) 19) The subjects in which college students major. A) Ordinal B) Nominal 19) C) Ratio D) Interval 20) Studentʹs grades, A, B, or C, on a test. A) Ordinal B) Ratio C) Nominal D) Interval 21) Amount of fat (in grams) in cookies. A) Nominal B) Interval C) Ordinal D) Ratio 20) 21) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use critical thinking to address the key issue. 22) ʺ38% of adults in the United States regularly visit a doctorʺ. This conclusion was reached by a college student after she had questioned 520 randomly selected members of her college. What is wrong with her survey? 22) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. 1 23) Convert to an equivalent decimal and percent. 23) 12 A) 0.083, 8.3% B) 0.203, 203% C) 0.203, 20.3% 24) Convert 0.368 to an equivalent fraction and percent. 46 9 46 , 3.68% B) , 36.8% C) , 36.8% A) 125 25 125 25) Convert 34.4% to an equivalent fraction and decimal. 42 43 42 , 0.344 B) , 3.44 C) , 3.44 A) 125 125 125 D) 0.083, 0.83% 24) D) 9 , 3.68% 25 25) 43 D) , 0.344 125 Solve the problem. 26) On a test, 55% of the questions are answered correctly. If 44 questions are correct, how many questions are on the test? A) 125 B) 80 C) 55 D) 11 27) On a test, if 80 questions are answered and 76 of them are correct, what is the percent of correct answers? Round to the nearest percent. A) 0.95% B) 105% C) 95% D) 5% Determine whether the given description corresponds to an observational study or an experiment. 28) A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided. A) Experiment B) Observational study 3 26) 27) 28) 29) A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant. A) Observational study B) Experiment 29) 30) A stock analyst selects a stock from a group of twenty for investment by choosing the stock with the greatest earnings per share reported for the last quarter. A) Experiment B) Observational study 30) 31) A stock analyst compares the relationship between stock prices and earnings per share to help him select a stock for investment. A) Observational study B) Experiment 31) 32) A T.V. showʹs executives raised the fee for commercials following a report that the show received a ʺNo. 1ʺ rating in a survey of viewers. A) Observational study B) Experiment 32) Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 33) A pollster uses a computer to generate 500 random numbers, then interviews the voters corresponding to those numbers. A) Systematic B) Convenience C) Random D) Stratified E) Cluster 33) 34) To avoid working late, a quality control analyst simply inspects the first 100 items produced in a day. A) Systematic B) Convenience C) Random D) Cluster E) Stratified 34) 35) An education researcher randomly selects 48 middle schools and interviews all the teachers at each school. A) Stratified B) Systematic C) Random D) Convenience E) Cluster 35) 36) A researcher interviews 19 work colleagues who work in his building. A) Systematic B) Random C) Cluster D) Stratified E) Convenience 36) 4 37) The name of each contestant is written on a separate card, the cards are placed in a bag, and three names are picked from the bag. A) Stratified B) Convenience C) Cluster D) Random E) Systematic Provide an appropriate response. 38) A polling company obtains an alphabetical list of names of voters in a precinct. They select every 20th person from the list until a sample of 100 is obtained. They then call these 100 people. Does this sampling plan result in a random sample? Simple random sample? Explain. A) No; yes. The sample is not random because not all voters have the same chance of being selected. The second person on the list has no chance of being selected. It is a simple random sample because all samples of 100 voters have the same chance of being selected. B) Yes; no. The sample is random because all voters have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample containing the second person on the list. C) No; no. The sample is not random because not all voters have the same chance of being selected. The second person on the list has no chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample containing the second person on the list. D) Yes; yes. The sample is random because all voters have the same chance of being selected. It is a simple random sample because all samples of 100 voters have the same chance of being selected. 39) A researcher obtains an alphabetical list of the 2560 students at a college. She uses a random number generator to obtain 50 numbers between 1 and 2560. She chooses the 50 students corresponding to those numbers. Does this sampling plan result in a random sample? Simple random sample? Explain. A) Yes; yes. The sample is random because all students have the same chance of being selected. It is a simple random sample because all samples of 50 students have the same chance of being selected. B) Yes; no. The sample is random because all students have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample containing the first 50 students on the list. C) No; no. The sample is not random because not all students have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample containing the the first 50 students on the list. D) No; yes. The sample is not random because not all students have the same chance of being selected. It is a simple random sample because all samples of 50 students have the same chance of being selected. 5 37) 38) 39) 40) An electronics store receives a shipment of eight boxes of calculators. Each box contains ten calculators. A quality control inspector chooses a box by putting eight identical slips of paper numbered 1 to 8 into a hat, mixing thoroughly and then picking a slip at random. He then chooses a calculator at random from the box selected using a similar method with ten slips of paper in a hat. He repeats the process until he obtains a sample of 5 calculators for quality control testing. Does this sampling plan result in a random sample? Simple random sample? Explain. A) Yes; yes. The sample is random because all calculators have the same chance of being selected. It is a simple random sample because all samples of 5 calculators have the same chance of being selected. B) No; no. The sample is not random because not all calculators have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample containing 5 calculators from the same box. C) Yes; no. The sample is random because all calculators have the same chance of being selected. It is not a simple random sample because some samples are not possible, such as a sample containing 5 calculators from the same box. D) No; yes. The sample is not random because not all calculators have the same chance of being selected. It is a simple random sample because all samples of 5 calculators have the same chance of being selected. 40) 41) The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores interval 40-59. 41) Scores 40-59 60-75 76-82 83-94 95-99 A) 40.5, 58.5 Number of students 2 4 6 15 5 B) 39.5, 58.5 C) 39.5, 59.5 D) 40.5, 59.5 42) The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59. Scores 40-59 60-75 76-82 83-94 95-99 A) 48.5 Number of students 2 4 6 15 5 B) 49.5 C) 50.5 6 D) 49.0 42) 43) The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the width of each class. 43) (Sale price in thousand $) Frequency 80.0 - 110.9 2 111.0 - 141.9 5 142.0 - 172.9 7 173.0 - 203.9 10 204.0 - 234.9 3 235.0 - 265.9 1 A) 61 B) 31 C) 30 D) 28 Construct the cumulative frequency distribution that corresponds to the given frequency distribution. 44) Number Speed of cars 0-29 4 30-59 16 60-89 60 90-119 20 A) B) Speed 0-29 30-59 60-89 90-119 Cumulative Frequency 4 20 80 100 C) Speed Less than 30 Less than 60 Less than 90 Less than120 Cumulative Frequency 4 20 80 100 Speed Less than 30 Less than 60 Less than 90 Less than120 Cumulative Frequency 100 80 82 4 D) Speed Less than 30 Less than 60 Less than 90 Less than120 Cumulative Frequency 0.04 0.20 0.80 1.00 7 44) 45) 45) Number Weight (oz) of Stones 1.2-1.6 5 1.7-2.1 2 2.2-2.6 5 2.7-3.1 5 3.2-3.6 13 A) B) Weight (oz) Less than 2.2 Less than 3.2 Less than 3.7 Cumulative Frequency 7 17 30 C) Weight (oz) Less than 1.7 Less than 2.2 Less than 2.7 Less than 3.2 Less than 3.7 Cumulative Frequency 5 7 12 17 28 Weight (oz) Less than 1.7 Less than 2.2 Less than 2.7 Less than 3.2 Less than 3.7 Cumulative Frequency 5 7 12 17 30 D) Cumulative Weight (oz) Frequency 1.2-1.6 5 1.7-2.1 7 2.2-2.6 12 2.7-3.1 17 3.2-3.6 30 8 Provide an appropriate response. 46) The scores on a recent statistics test are given in the frequency distribution below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. Scores Frequency 0-60 4 61-70 10 71-80 12 81-90 4 91-100 5 A) B) Scores 0-60 61-70 71-80 81-90 91-100 Relative Frequency 0.20% 0.20% 0.49% 0.03% 0.09% Relative Scores Frequency 0-60 15.5% 61-70 22.1% 71-80 31.3% 81-90 16.2% 91-100 14.9% C) D) Relative Scores Frequency 0-60 12.5% 61-70 20.1% 71-80 37.3% 81-90 15.2% 91-100 14.9% Relative Scores Frequency 0-60 11.43% 61-70 28.57% 71-80 34.29% 81-90 11.43% 91-100 14.29% SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the given data to construct a frequency distribution. 47) A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered stress strokes were as follows. 29 30 36 41 45 50 57 61 28 50 36 58 60 38 36 47 40 32 58 46 61 40 55 32 61 56 45 46 62 36 38 40 50 27 Construct a frequency distribution for these ages. Use 8 classes beginning with a lower class limit of 25. Age Frequency 9 47) 46) 48) Lori asked 24 students how many hours they had spent doing homework during the previous week. The results are shown below. 10 11 10 8 10 10 14 13 10 9 13 11 11 13 10 11 13 10 11 13 11 13 13 8 Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 8 for Hours Frequency 48) 49) The following figures represent Jenniferʹs monthly charges for long distance telephone calls for the past twelve months. 49) 9.46 12.17 15.73 16.12 10.90 17.03 9.04 14.76 13.94 14.31 15.53 11.47 Construct a frequency distribution with 4 classes. Charges Frequency MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 50) A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number. What class width was used to construct the relative frequency distribution? A) 11 B) 100 C) 10 10 D) 9 50) 51) A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number. Identify the center of the third class. A) 124 B) 130 C) 125 D) 120 52) The histogram below represents the number of television sets per household for a sample of U.S. households. What is the minimum number of households having the same number of television sets? 50 Frequency 40 30 20 10 1 2 3 4 5 Number of TV Sets A) 5 B) 100 C) 1 11 51) D) 20 52) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 53) In a survey, 20 people were asked how many magazines they had purchased during the previous year. The results are shown below. Construct a histogram to represent the data. Use 4 classes with a class width of 10, and begin with a lower class limit of -0.5. What is the approximate amount at the center? 6 15 3 36 25 18 12 18 5 30 24 7 0 22 33 24 19 4 12 9 53) 54) In a survey, 26 voters were asked their ages. The results are shown below. Construct a histogram to represent the data (with 5 classes beginning with a lower class limit of 19.5 and a class width of 10). What is the approximate age at the center? 43 56 28 63 67 66 52 48 37 51 40 60 62 66 45 21 35 49 32 53 61 53 69 31 48 59 54) 12 55) The frequency table below shows the number of days off in a given year for 30 police detectives. Days off Frequency 0-2 10 3-5 1 6-8 7 9-11 7 12-14 1 15-17 4 Construct a histogram. Use the class midpoints for the horizontal scale. Does the result appear to be a normal distribution? Why or why not? 55) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Construct the dotplot for the given data. 56) A manufacturer records the number of errors each work station makes during the week. The data are as follows. 6 3 2 3 5 2 0 2 5 4 2 0 1 A) B) C) D) 13 56) 57) A store manager counts the number of customers who make a purchase in his store each day. The data are as follows. 15 16 13 19 12 15 15 16 13 12 10 A) 15 57) 20 B) 10 15 20 C) 10 15 20 10 15 20 D) 10 15 20 Use the data to create a stemplot. 58) The weights of 22 members of the varsity football team are listed below. 144 152 142 151 160 152 131 164 141 153 140 144 175 156 147 133 172 159 135 159 148 171 A) B) 13 1 3 5 13 1 3 5 14 0 1 2 4 4 7 8 14 1 2 2 3 6 9 9 15 1 2 2 3 6 9 9 15 0 1 2 4 4 7 8 16 0 4 16 0 4 17 1 2 5 17 1 2 5 59) The ages of the 45 members of a track and field team are listed below. Construct an expanded stemplot with about 8 rows. 21 18 42 35 32 21 44 25 38 48 14 19 23 22 28 32 34 27 31 17 16 41 37 22 24 33 32 21 26 30 22 27 32 30 20 18 17 21 15 26 36 31 40 16 25 B) A) 1 4 1 4 5 1 5 6 6 7 7 8 8 9 1 5 6 6 7 7 8 8 9 2 0 1 1 1 1 2 2 2 3 4 2 0 1 1 1 1 2 2 2 3 4 5 5 2 5 5 6 6 7 7 8 2 5 5 6 6 7 7 8 3 0 0 1 1 2 2 2 2 3 4 3 0 0 1 1 2 2 2 2 3 4 5 3 5 6 7 8 3 5 6 7 8 4 0 1 2 4 4 0 1 2 4 4 8 4 8 Provide an appropriate response. 14 58) 59) Minutes on Number of Relative Cumulative homework students frequency frequency 0-15 2 0.05 2 16-30 4 0.10 6 31-45 8 0.20 14 46-60 18 0.45 32 61-75 4 0.10 36 76-90 4 0.10 40 Cumulative Frequency 60) The table contains data from a study of daily study time for 40 students from Statistics 101. Construct an ogive from the data. 50 45 40 35 30 25 20 15 10 5 0 15.5 30.5 45.5 60.5 75.5 90.5 Homework Time (minutes) B) Frequency A) 100 90 80 70 60 50 40 30 20 10 0 15.5 30.5 45.5 60.5 75.5 90.5 Homework Time (minutes) C) 100 90 80 70 60 50 40 30 20 10 0 Relative Frequency Relative Frequency D) 15.5 30.5 45.5 60.5 75.5 90.5 Homework Time (minutes) 100 90 80 70 60 50 40 30 20 10 0 15.5 30.5 45.5 60.5 75.5 90.5 Homework Time (minutes) Solve the problem. 15 60) 61) Wagenlucht Ice Cream Company is always trying to create new flavors of ice cream. They are market testing three kinds to find out which one has the best chance of becoming popular. They give small samples of each to 20 people at a grocery store. 4 ice cream tasters preferred the Strawberry Cream, 12 preferred Choco-Nuts, and 4 loved the Orange Mint. Construct a Pareto chart to represent these preferences. Choose the vertical scale so that the relative frequencies are represented. A) B) C) D) 16 61) 62) A car dealer is deciding what kinds of vehicles he should order from the factory. He looks at his sales report for the preceding period. Choose the vertical scale so that the relative frequencies are represented. Vehicle Sales Economy 22 Sports 5.5 Family 38.5 Luxury 11 Truck 33 Construct a Pareto chart to help him decide. A) B) C) D) 17 62) Construct a pie chart representing the given data set. 63) After reviewing a movie, 300 people rated the movie as excellent, good, or fair. The following data give the rating distribution. Excellent Good Fair 60 150 90 A) 63) B) 64) The following figures give the distribution of land (in acres) for a county containing 70,000 acres. Forest Farm Urban 10,500 7000 52,500 A) 64) B) Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. 65) Andrew asked seven of his friends how many cousins they had. The results are listed below. Find 65) the mean number of cousins. 18 12 7 13 7 2 7 A) 9.4 cousins B) 8.9 cousins C) 11 cousins D) 10.9 cousins 18 66) Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age. 51 61 62 54 68 58 60 57 54 A) 57.1 yr B) 58.3 yr C) 57.7 yr D) 58.0 yr 66) 67) Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values correspond to women who lost weight. What is the mean weight change? 2 -4 1 -5 18 -9 16 0 11 -8 11 7 C) 1.5 lb D) 7.7 lb A) 3.6 lb B) 3.3 lb 67) 68) The local Tupperware dealers earned these commissions last month: 68) $1077.28 $2661.13 $4642.11 $4264.15 $1019.55 $3444.20 $2525.92 $3740.26 $3533.07 $1633.84 What was the mean commission earned? Round your answer to the nearest cent. A) $3171.28 B) $3567.69 C) $2848.15 D) $2854.15 Find the median for the given sample data. 69) A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. 80 39 214 152 264 239 232 Find the median number of newspapers sold. A) 152 newspapers C) 214 newspapers B) 174 newspapers D) 232 newspapers 70) Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values correspond to women who lost weight. What is the median weight change? 5 -3 2 -10 14 -10 9 0 18 -2 18 7 A) 4.0 lb B) 4.4 lb C) 5 lb Find the mode(s) for the given sample data. 72) -20 -43 -46 -43 -49 -43 -49 A) -46 B) -49 70) D) 3.5 lb 71) The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 0.4 3.7 2.0 3.6 A) 3.50 in. B) 3.45 in. C) 3.40 in. D) 2.94 in. 73) 92 56 32 56 29 92 A) 92, 56 69) 71) 72) C) -41.9 D) -43 C) 92 D) 56 73) B) 59.5 19 74) 66 25 66 13 25 29 56 66 A) 42.5 B) 43.3 74) C) 25 D) 66 75) Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. 53 65 63 50 56 67 62 58 54 A) 58.7 yr B) no mode C) 58 yr D) 53 yr, 65 yr, 63 yr, 50 yr, 56 yr, 67 yr, 62 yr, 58 yr, 54 yr Find the midrange for the given sample data. 76) A meteorologist records the number of clear days in a given year in each of 21 different U.S. cities. The results are shown below. Find the midrange. 72 143 52 84 100 98 101 120 99 121 86 60 59 71 125 130 104 74 83 55 169 A) 117 days B) 110.5 days C) 112 days D) 98 days 75) 76) 77) Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values correspond to women who lost weight. What is the midrange? 4 -5 1 -13 13 -12 15 0 27 -8 9 7 A) 11 lb B) 2.5 lb C) 7 lb D) 20 lb 77) 78) The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange. 44.3 41.4 42.4 40.7 43.1 40.3 44.5 41.4 44.3 42.1 43.4 41.4 40.7 43.4 41.4 A) 42.40 mph B) 4.20 mph C) 42.30 mph D) 42.1 mph 78) Find the mean of the data summarized in the given frequency distribution. 79) The test scores of 40 students are summarized in the frequency distribution below. Find the mean score. Score Students 50-59 13 60-69 6 70-79 7 80-89 7 90-99 7 A) 64.6 B) 68.2 C) 74.5 20 D) 71.8 79) 80) The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed. Speed (mph) Cars 30-39 4 40-49 19 50-59 50 60-69 15 70-79 12 A) 54.5 mph B) 61.3 mph C) 55.7 mph D) 58.5 mph 81) The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the mean height. Round your answer to one decimal place. Height (in.) Frequency 70 - 71 1 72 - 73 8 74 - 75 11 76 - 77 10 78 - 79 13 80 - 81 8 82 - 83 2 A) 13.5 in. B) 78.2 in. C) 75.3 in. 80) 81) D) 76.7 in. Solve the problem. 82) Michael gets test grades of 73, 77, 82, and 86. He gets a 93 on her final exam. Find the weighted mean if the tests each count for 15% and the final exam counts for 40% of the final grade. Round to one decimal place. A) 82.2 B) 84.9 C) -74.1 D) 243.9 82) 83) A student earned grades of C, A, B, and A. Those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places. A) 3.40 B) 2.18 C) 3.50 D) 8.75 83) 84) A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 3, 5, 1, 5, 3. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places. A) 8.20 B) 3.15 C) 1.41 D) 2.41 84) Find the range for the given sample data. 85) Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. 30 31 47 29 32 11 48 41 50 59 37 22 A) 2 B) 59 C) 48 D) 11 21 85) 86) The prices (in dollars) of 12 electric smoothtop ranges are listed below. 835 950 625 535 1435 1050 650 735 760 1250 525 1035 A) $900 B) $920 C) $910 86) D) $930 87) Listed below are the amounts of weight change (in pounds) for ten women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values correspond to women who lost weight. What is the range? 3 9 5 12 -1 24 0 -7 7 -1 A) 31 lb B) 17 lb C) 4 lb D) 24 lb Find the variance for the given data. Round your answer to one more decimal place than the original data. 88) 18 20 18 2 7 A) 63.9 B) 51.2 C) 64.0 D) 99.2 89) 13.9 12.0 13.0 12.3 10.5 A) 33.32 B) 1.49 87) 88) 89) C) 1.59 D) 1.27 90) To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $502 $353 $226 $597 $407 $327 A) 17,410.3 dollars2 B) 1,027,587.3 dollars2 C) 14,508.7 dollars2 90) D) 17,410.4 dollars2 91) The normal monthly precipitation (in inches) for August is listed for 12 different U.S. cities. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 A) 1.09 in.2 B) 0.94 in. 2 C) 1.00 in.2 D) 1.05 in. 2 91) Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 92) 19 6 19 15 14 5 18 15 13 92) A) 4.9 B) 5.2 C) 1.7 D) 5.5 93) Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores: 50 15 31 27 11 42 71 A) 11,341 B) 8715.6 C) 31 D) 20.9 93) 94) Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after graduating from college. Positive values correspond to women who gained weight and negative values correspond to women who lost weight. 2 -5 14 4 -7 13 -6 1 0 4 -3 9 A) 6.7 lb B) 7.0 lb C) 7.4 lb D) 7.2 lb 94) 22 Find the range, variance, and standard deviation for each of the two samples, then compare the two sets of results. 95) 95) When investigating times required for drive-through service, the following results (in seconds) were obtained. Restaurant A 120 67 89 97 124 68 72 96 Restaurant B 115 126 49 56 98 76 78 95 A) Restaurant A: 57 sec; 793.98 sec 2 ; 28.18 sec Restaurant B: 77 sec; 727.98 sec 2 ; 26.98 sec There is more variation in the times for restaurant A. B) Restaurant A: 75 sec; 493.98 sec 2 ; 22.23 sec Restaurant B: 70 sec; 727.98 sec 2 ; 26.98 sec There is more variation in the times for restaurant B. C) Restaurant A: 57 sec; 493.98 sec 2 ; 22.23 sec Restaurant B: 77 sec; 727.98 sec 2 ; 26.98 sec There is more variation in the times for restaurant B. D) Restaurant A: 57 sec; 493.98 sec 2 ; 22.23 sec Restaurant B: 56 sec; 727.98 sec 2 ; 32.89 sec There is more variation in the times for restaurant B. Find the standard deviation of the data summarized in the given frequency distribution. 96) A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Salary (dollars) Employees 5,001-10,000 12 10,001-15,000 13 15,001-20,000 14 20,001-25,000 19 25,001-30,000 22 A) $7674.1 B) $7461.0 C) $7887.3 D) $7105.7 97) The test scores of 40 students are summarized in the frequency distribution below. Find the standard deviation. Score Students 50-59 5 60-69 13 70-79 5 80-89 8 90-99 9 A) 14 B) 12.6 C) 13.3 D) 14.7 Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. 98) The heights in feet of people who work in an office are as follows. 5.8 6.1 5.9 5.4 5.6 5.8 5.9 6.2 6.1 5.8 A) 0.2 B) 0.5 C) 0.1 D) 1.2 99) The following is a set of data showing the water temperature in a heated tub at different time intervals. 114.9 115.8 116.8 113.3 113.8 115.9 112.5 114.8 A) -55.7 B) 1.1 C) 0.9 D) 1.4 23 96) 97) 98) 99) Solve the problem. Round results to the nearest hundredth. 100) The mean of a set of data is 5.73 and its standard deviation is 3.44. Find the z score for a value of 13.87. A) 2.61 B) 2.67 C) 2.37 D) 2.13 100) 101) The mean of a set of data is 359.53 and its standard deviation is 63.94. Find the z score for a value of 445.29. A) 1.64 B) 1.48 C) 1.34 D) 1.21 101) 102) A department store, on average, has daily sales of $ 29,876.76. The standard deviation of sales is $ 1000. On Tuesday, the store sold $34,893.71 worth of goods. Find Tuesdayʹs z score. Was Tuesday an unusually good day? B) 5.02, yes C) 4.01, no D) 5.27, no A) 5.33, yes 102) Find the number of standard deviations from the mean. Round your answer to two decimal places. 103) The annual snowfall in a town has a mean of 38 inches and a standard deviation of 10 inches. Last year there were 63 inches of snow. How many standard deviations from the mean is that? A) 0.44 standard deviations above the mean B) 2.50 standard deviations above the mean C) 2.50 standard deviations below the mean D) 0.44 standard deviations below the mean 103) 104) In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation of 1.7 pounds. Tyler consumed 11 pounds of sugar last year. How many standard deviations from the mean is that? A) 1.00 standard deviations below the mean B) 1.76 standard deviations above the mean C) 1.00 standard deviations above the mean D) 1.76 standard deviations below the mean 104) 105) The number of assists per match for the setter on your schoolʹs volleyball team has a mean of 58 and a standard deviation of 7. How many standard deviations from the mean is an outing with 77 assists? A) 1.36 standard deviations above the mean B) 2.71 standard deviations above the mean D) 2.71 standard deviations below the mean C) 1.36 standard deviations below the mean 105) Find the z-score corresponding to the given value and use the z -score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z -score to the nearest tenth if necessary. 106) 106) A test score of 50.0 on a test having a mean of 69 and a standard deviation of 10. A) -1.9; unusual B) -19; unusual C) 1.9; not unusual D) -1.9; not unusual 107) A weight of 110 pounds among a population having a mean weight of 164 pounds and a standard deviation of 25.6 pounds. A) -2.1; unusual B) -2.1; not unusual C) -53.8; unusual D) 2.1; not unusual Determine which score corresponds to the higher relative position. 108) Which is better, a score of 92 on a test with a mean of 71 and a standard deviation of 15, or a score of 688 on a test with a mean of 493 and a standard deviation of 150? A) A score of 92 B) Both scores have the same relative position. C) A score of 688 24 107) 108) 109) Which score has a higher relative position, a score of 38 on a test for which x = 27 and s = 10, or a 109) score of 262.7 on a test for which x = 200 and s = 57? A) A score of 38 B) Both scores have the same relative position. C) A score of 262.7 Find the percentile for the data value. 110) Data set: 4 6 14 10 4 10 18 18 22 6 6 18 12 2 18; data value: 14 A) 35 B) 60 C) 52 110) D) 70 111) Data set: 122 134 126 120 128 130 120 118 125 122 126 136 118 122 124 119; data value: 128 A) 75 B) 85 C) 62 D) 70 Find the indicated measure. 112) Use the given sample data to find Q3 . 111) 112) 49 52 52 52 74 67 55 55 A) 67.0 B) 61.0 C) 55.0 113) The weights (in pounds) of 30 newborn babies are listed below. Find Q1 . 5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7 A) 7.5 lb B) 6.4 lb C) 6.3 lb D) 6.0 113) D) 5.8 lb 114) The test scores of 40 students are listed below. Find P85. 30 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98 A) 85 B) 34 C) 89 25 114) D) 87 Construct a boxplot for the given data. Include values of the 5 -number summary in all boxplots. 115) The weights (in pounds) of 30 newborn babies are listed below. Construct a boxplot for the data set. 5.5 5.7 5.8 5.9 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7 A) B) C) D) 26 115) 116) The test scores of 32 students are listed below. Construct a boxplot for the data set. 32 37 41 44 46 48 53 55 57 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 81 82 83 86 89 92 95 99 A) 116) B) C) D) 117) The highest temperatures ever recorded (in °F) in 32 different U.S. states are shown below. Construct a boxplot for the data set. 100 100 105 105 106 106 107 107 109 110 110 112 112 112 114 114 114 115 116 117 118 118 118 118 118 119 120 121 122 125 128 134 B) A) C) 117) D) Provide an appropriate response. 118) Human body temperatures have a mean of 98.20 ° F and a standard deviation of 0.62°. Sallyʹs temperature can be described by z = 1.4. What is her temperature? Round your answer to the nearest hundredth. A) 100.45°F B) 97.33°F C) 99.60°F D) 99.07°F 119) For data which are heavily skewed to the right, P10 is likely to be closer to the median than P90. True or false? A) True B) False 27 118) 119) 120) If all the values in a data set are converted to z-scores, the shape of the distribution of the z-scores will be bell-shaped regardless of the distribution of the original data. True or false? A) True B) False 28 120) Answer Key Testname: REVIEW TEST 1 1) 2) 3) 4) 5) 6) 7) C A C B B B The x-values are not matched with the y-values, so it does not make sense to use the differences between each x-value and the y-value that is in the same column. 8) Given the context of the data, we could address the issue of whether the two types of muffin provide the same amounts of saturated fat, or whether there is a difference between the two types of muffin. 9) The x-values are matched with the corresponding y-values. It makes sense to use the difference between each x-value and the y-value that is in the same column. Both represent weights measured in pounds and both are associated with the same person. The x-value is the weight of a person before the diet and the y-value in the same column is the weight of the same person after the diet. The difference represents the amount of weight lost (or gained) by that person. 10) A 11) B 12) B 13) A 14) A 15) B 16) D 17) C 18) D 19) B 20) A 21) D 22) The sample is biased. College students are not representative of the U.S. population as a whole. 23) A 24) B 25) D 26) B 27) C 28) B 29) B 30) B 31) A 32) A 33) C 34) B 35) E 36) E 37) D 38) C 39) A 40) A 41) C 42) B 43) B 44) B 29 Answer Key Testname: REVIEW TEST 1 45) D 46) D 47) Age Frequency 25-29 3 30-34 3 35-39 6 40-44 4 45-49 5 50-54 3 55-59 5 60-64 5 48) Hours Frequency 8-9 3 10-11 13 12-13 7 14-15 1 49) Charges Frequency 7.00-9.99 2 10.00-12.99 3 13.00-15.99 5 16.00-18.99 2 50) C 51) C 52) A 53) The approximate amount at the center is 16 magazines. 30 Answer Key Testname: REVIEW TEST 1 54) The approximate age at the center is 50. 55) The distribution does not appear to be normal. It is not bell -shaped and it is not symmetric. 56) B 57) B 58) A 59) B 60) B 61) A 62) B 63) A 64) B 65) A 66) B 67) B 68) D 69) C 70) D 71) B 72) D 73) A 74) D 75) B 76) B 31 Answer Key Testname: REVIEW TEST 1 77) C 78) A 79) D 80) C 81) D 82) B 83) A 84) D 85) C 86) C 87) A 88) C 89) C 90) D 91) A 92) B 93) D 94) B 95) C 96) D 97) A 98) A 99) B 100) C 101) C 102) B 103) B 104) B 105) B 106) D 107) A 108) A 109) B 110) B 111) A 112) B 113) B 114) D 115) C 116) D 117) B 118) D 119) A 120) B 32