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1 Exam Name___________________________________ 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. 1) A sample of 120 employees of a company is selected, and the average age is found to be 37 years. 1) _______ A) Statistic B) Parameter 2) After taking the first exam, 15 of the students dropped the class. A) Statistic B) Parameter 2) _______ 3) After inspecting all of 3) _______ of meat stored at the MacDonald Company, it was found that of the meat was spoiled. A) Statistic B) Parameter 4) A health and fitness club surveys 40 randomly selected members and found that the average weight of those questioned is A) Parameter B) Statistic Determine whether the given value is from a discrete or continuous data set. 5) The number of freshmen entering college in a certain year is 621. A) Continuous B) Discrete 6) The temperature of a cup of coffee is 67.3°F. A) Continuous 4) _______ 5) _______ 6) _______ B) Discrete 7) The weight of Hany's pack as he sets off on a backpacking trip is 24.3 kg. A) Continuous B) Discrete 7) _______ 8) The number of limbs on a 2-year-old oak tree is 21. A) Continuous 8) _______ B) Discrete 9) The height of 2-year-old maple tree is 28.3 ft. A) Discrete B) Continuous 9) _______ 10) The number of stories in a Al Faisalia building is 22. A) Discrete B) Continuous 10) ______ 11) The total number of phone calls a sales representative makes in a month is 425. A) Discrete B) Continuous 11) ______ Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 12) The temperatures of eight different plastic spheres. 12) ______ A) Ordinal B) Interval C) Nominal D) Ratio 13) The sample of spheres categorized from softest to hardest. A) Interval B) Ordinal C) Ratio 13) ______ D) Nominal 2 14) Salaries of college professors. A) Nominal B) Ratio C) Ordinal D) Interval 15) Survey responses of "good, better, best". A) Ratio B) Interval C) Nominal D) Ordinal 16) Temperatures of the ocean at various depths. A) Ratio B) Nominal C) Ordinal D) Interval 17) Nationalities of survey respondents. A) Ratio B) Ordinal 18) Ages of survey respondents. A) Nominal B) Ordinal 14) ______ 15) ______ 16) ______ 17) ______ C) Nominal D) Interval 18) ______ C) Ratio D) Interval SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Identify the sample and population. Also, determine whether the sample is likely to be representative of the population. 19) An employee at the local ice cream parlor دارasks three customers if they like chocolate 19) _____________ ice cream. 20) 100,000 randomly selected adults were asked whether they drink at least 48 oz أوقيهof water each day and only 45% said yes. 20) _____________ 21) In a poll of 50,000 randomly selected college students, 74% answered "yes" when asked "Do you have a television in your dorm room?". 21) _____________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given description corresponds to an observational study or an experiment. 22) A marketing firm does a survey to find out how many people use a product. Of the one hundred 22) ______ people contacted, fifteen said they use the product. A) Observational study B) Experiment 23) A clinic gives a drug to a group of ten patients and a placebo to another group of ten patients to find out if the drug has an effect on the patients' illness. A) Observational study B) Experiment 23) ______ 24) A sample of fish is taken from a lake to measure the effect of pollution from a nearby factory on the fish. A) Experiment B) Observational study 24) ______ 25) A political pollster استطالعبت الرآي السيبسيةreports that his candidate has a 10% lead in the polls with 10% undecided. A) Experiment B) Observational study 25) ______ 26) 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 26) ______ 3 Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 27) 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. A) Systematic B) Random C) Stratified D) Convenience E) Cluster 27) ______ 28) A sample consists of every 49th student from a group of 496 students. A) Random B) Convenience C) Cluster D) Systematic E) Stratified 28) ______ 29) A market researcher selects 500 drivers under 30 years of age and 500 drivers over 30 years of age. A) Convenience B) Stratified C) Cluster D) Systematic E) Random 29) ______ 30) A market researcher selects 500 people from each of 10 cities. A) Stratified B) Random C) Convenience D) Systematic E) Cluster 30) ______ Identify the type of observational study (cross-sectional, retrospective, prospective). 31) A statistical analyst obtains data about ankle injuries اصبببت الكبحلby examining a hospital's records from the past 3 years. A) Cross-sectional B) Prospective C) Retrospective D) None of these 31) ______ 32) Researchers collect data by interviewing athletes who have won olympic gold medals from 1992 to 2008. A) Cross-sectional B) Prospective C) Retrospective D) None of these 32) ______ 33) A researcher plans to obtain data by following those in cancer remission since January of 2005. A) Cross-sectional B) Retrospective C) Prospective D) None of these 33) ______ 34) A town obtains current employment data by polling 10,000 of its citizens this month. A) Prospective B) Retrospective C) Cross-sectional D) None of these 34) ______ 4 Provide an appropriate response. 35) The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores interval 40-59. A) 39.5, 58.5 B) 40.5, 59.5 C) 40.5, 58.5 D) 39.5, 59.5 36) The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59. A) 49.0 B) 49.5 C) 48.5 B) 95.5, 99.5 C) 94.5, 100.5 B) 97.5 C) 98.0 37) ______ D) 94.5, 99.5 38) The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 95-99. A) 97.0 36) ______ D) 50.5 37) The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores interval 95-99. A) 95.5, 100.5 35) ______ D) 96.5 38) ______ 5 Construct the cumulative frequency distribution that corresponds to the given frequency distribution. 39) A) B) C) D) 40) 39) ______ 40) ______ A) B) C) D) 6 41) 41) ______ A) B) C) D) 7 Provide an appropriate response. 42) The frequency distribution for the weekly incomes of students with part-time jobs is given below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest hundredth of a percent if necessary. A) B) C) D) 42) ______ 8 43) 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. A) B) C) D) 43) ______ 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. 44) A medical research team studied the ages of patients who had strokes caused by stress. 44) _____________ 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. 9 45) Ahmed asked some of his friends how many hours they had worked during the previous week at their after-school jobs. The results are shown below. 6 5 6 3 6 6 9 8 6 3 8 5 5 8 6 5 8 6 5 8 5 8 8 3 Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 3 for 45) _____________ 46) Jamal 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 46) _____________ 47) On a math test, the scores of 24 students were 99 78 79 67 79 79 99 89 79 68 88 78 78 88 79 78 88 79 78 89 78 88 89 67 Construct a frequency distribution. Use 4 classes beginning with a lower class limit of 60. 47) _____________ 48) The following figures represent Etesalat's monthly charges for long distance telephone calls for the past twelve months. 48) _____________ Construct a frequency distribution with 4 classes. 10 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 49) A nurse measured the blood pressure ضغط الدمof each person who visited her clinic عيبدتهب. 49) ______ 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. Approximately what percentage of the people aged 25-40 had a systolic blood pressure ضغط الدم االنقببضيreading between 110 and 119 inclusive? A) 0.35% B) 30% C) 3.5% D) 35% 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. Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 139 inclusive? A) 59% B) 39% C) 75% D) 89% 50) ______ 11 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. What class width was used to construct the relative frequency distribution? A) 9 B) 100 C) 11 D) 10 Use the data to create a stemplot. 52) The following data show the number of laps run by each participant مشبركin a marathon المبرثىن. 46 65 55 43 51 48 57 30 43 49 32 56 A) B) 53) The midterm test scores for the seventh-period typing class are listed below. 85 77 93 91 74 65 68 97 88 59 74 83 85 72 63 79 A) B) 51) ______ سببق 52) ______ 53) ______ 12 54) The attendance counts for this season's basketball games are listed below. 227 239 215 219 221 233 229 233 235 228 245 231 A) B) 54) ______ 55) 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) 55) ______ 56) Twenty-four workers were surveyed about how long it takes them to travel to work each day. The data below are given in minutes. 20 35 42 52 65 20 60 49 24 37 23 24 22 20 41 25 28 27 50 47 58 30 32 48 A) B) 56) ______ 13 Provide an appropriate response. 57) The table contains data from a study of daily study time for 40 students from Statistics 140. Construct an ogive from the data. 57) ______ 14 A) B) C) D) 15 Solve the problem. 58) Saudia 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 . محل بقبلهice 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) 58) ______ 16 C) D) Construct a pie chart representing the given data set. 59) The following data give the distribution of the types of houses in a town containing 44,000 houses. Capes Garrisons Splits 11,000 15,400 17,600 A) B) 59) ______ 17 60) 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) B) 61) 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) 60) ______ B) 61) ______ 18 Use the pie chart to solve the problem. 62) A survey of the 9833 vehicles on the campus of State University الحرم الجبمعيyielded the following pie chart. What percent of the vehicles are hatchbacks? A) 36% B) 8% C) 354% D) 26% 63) A survey of the 8115 vehicles on the campus of State University yielded the following pie chart. Together, what percent of the vehicles are either vans or convertibles? A) 16% B) 7% C) 144% 62) ______ D) 25% 63) ______ 19 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 64) Use the high closing values of Naristar Inc. stock from the years 1990 - 2001 to construct 64) _____________ a time-series graph. (Let x = 0 represent 1990 and so on.) Identify a trend. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 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) ِAhmed asked seven of his friends how many cousins they had. The results are listed below. 65) ______ Find the mean number of cousins. 18 12 7 13 7 2 7 A) 10.9 cousins B) 9.4 cousins C) 8.9 cousins D) 11 cousins 66) The weights (in pounds) of six dogs are listed below. Find the mean weight. 17 56 85 38 138 98 A) 71.5 lb B) 72.5 lb C) 72 lb D) 86.4 lb 66) ______ 67) Last year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age. 67) ______ A) 57.1 yr B) 57.7 yr C) 58.0 yr D) 58.3 yr 68) The amount of time (in hours) that Mhamed studied for an exam on each of the last five days is given below. Find the mean study time. 1.7 7.7 8.3 1.6 5.1 A) 4.88 hr B) 24.40 hr C) 4.96 hr D) 5.45 hr 68) ______ 69) The students in math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. 69) ______ A) 464.2 B) 473.7 C) 476.0 D) 455.1 20 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 mean weight change? A) 7.7 kg B) 3.3 kg C) 1.5 kg D) 3.6 kg 71) Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant. Find the mean. A) 54.8 months B) 59 months C) 51.1 months 71) ______ D) 21.5 months Find the median for the given sample data. 72) The temperatures (in degrees Fahrenheit) in 7 different cities on New Year's Day are listed below. 26 29 33 59 67 68 78 Find the median temperature. A) 33°F B) 59°F C) 51°F D) 67°F 73) The ages (in years) of the eight passengers on a bus are listed below. 10 7 26 16 21 43 40 30 Find the median age. A) 23.5 yr B) 21 yr C) 26 yr 70) ______ 72) ______ 73) ______ D) 24.5 yr 74) 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 B) 214 newspapers C) 232 newspapers D) 174 newspapers 74) ______ 75) The distances (in miles) driven in the past week by each of a company's sales representatives are listed below. 107 114 214 230 436 445 Find the median distance driven. A) 214 miles B) 220.50 miles C) 222 miles D) 230 miles 75) ______ Find the mode(s) for the given sample data. 76) -20 -43 -46 -43 -49 -43 -49 A) -49 B) -46 76) ______ C) -41.9 77) 20 42 46 42 49 42 49 A) 46 B) 49 78) 92 56 32 A) 59.5 56 29 79) 7.11 7.41 A) 7.11 7.56 D) -43 77) ______ C) 41.4 D) 42 92 78) ______ B) 92, 56 7.11 7.88 7.99 B) 7.56 C) 92 D) 56 7.62 79) ______ C) 7.41 D) 7.526 21 80) 66 25 66 13 25 29 56 66 A) 66 B) 42.5 80) ______ C) 25 Find the midrange for the given sample data. 81) 49 52 52 52 74 67 55 55 A) 12.5 B) 53.5 81) ______ C) 25 82) 3 6 9 0 4 1 11 5 9 14 3 8 2 15 0 9 A) 15 B) 5.5 83) 1.5 2.6 3.0 A) 2.25 1.0 1.2 3.9 1.8 3.5 B) 1.8 D) 43.3 2.3 2.8 D) 61.5 82) ______ C) 7.5 1.8 C) 2.3 D) 8 83) ______ D) 2.45 84) A meteorologist هيئة اإلرصبد الجىيةrecords the number of clear days in a given year in each of 21 different KSA. 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) 98 days B) 112 days C) 117 days D) 110.5 days Find the mean of the data summarized in the given frequency distribution. 85) A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary. A) SR 17,125.00 B) SR 15,412.50 C) SR 17,500 B) 64.6 C) 71.8 85) ______ D) SR 18,837.50 86) The test scores of 40 students are summarized in the frequency distribution below. Find the mean score. A) 68.2 84) ______ D) 74.5 86) ______ 22 87) The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed. A) 54.5 mph B) 55.7 mph C) 58.5 mph D) 61.3 mph 88) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency distribution below summarizes the results. Find the mean waiting time. Round your answer to one decimal place. A) 13.5 min B) 8.7 min C) 8.9 min 87) ______ 88) ______ D) 7.1 min Solve the problem. 89) Fadia gets quiz grades of 71, 75, and 64. She gets a 60 on her final exam. Find the weighted mean if the quizzes each count for 20% and the final exam counts for 40% of the final grade. Round to one decimal place. A) 65.0 B) 66.0 C) 68.2 D) 67.5 89) ______ 90) Amal 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) -74.1 B) 243.9 C) 82.2 D) 84.9 90) ______ 91) 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 91) ______ follows: and round the result to two decimal places. A) 3.50 B) 3.40 Compute the grade point average (GPA) and C) 8.75 D) 2.18 92) 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: and round the result to two decimal places. A) 2.41 B) 1.41 Compute the grade point average (GPA) and C) 3.15 D) 8.20 92) ______ 23 Find the range for the given sample data. 93) Khaled 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) 59 B) 11 C) 48 D) 2 93) ______ 94) Said has his own business as a painter. The amounts he made in the last five months are shown below. $ 2416 $ 2423 $ 1644 $ 2036 $ 1267 A) $ 1156 B) $ 772 C) $ 779 D) $ 1149 94) ______ 95) The prices (in dollars) of 12 electric smooth top ranges are listed below. 95) ______ A) $900 B) $920 C) $930 D) $910 96) The owner of a small manufacturing plant employs six people. As part of their personnel file, she asked each employee to record the distance they travel one way from home to work. The six distances (in miles) are listed below: 2.4 5.2 1.8 4.9 6.4 3.5 A) 5.2 mi B) 4.6 mi C) 1.1 mi D) 1.8 mi 96) ______ 97) Magdy called eight appliance stores and asked the price of a specific model of microwave oven . The prices quoted are listed below: $ 119 $ 494 $ 179 $ 634 $ 426 $ 285 $317 $492 A) $ 119 B) $ 106 C) $ 515 D) $ 494 97) ______ Find the variance for the given data. Round your answer to one more decimal place than the original data. 98) 18 20 18 2 7 98) ______ A) 63.9 B) 99.2 C) 64.0 D) 51.2 99) 6.6 8.5 4.6 A) 8.08 100) -12 6 -3 A) 88.2 101) 13.9 12.0 A) 1.59 6 1.7 2.4 99) ______ B) 7.98 C) 6.46 D) 12.80 12 13.0 100) _____ 12.3 B) 88.9 C) 70.6 D) 88.1 10.5 B) 1.49 C) 33.32 D) 1.27 101) _____ 102) Abdulla is currently taking college zoology. The instructor often gives quizzes. On the past five quizzes, Jeanne got the following scores: 17 18 1 20 13 A) 97.4 B) 57.6 C) 57.7 D) 46.2 102) _____ 24 103) The owner of a small manufacturing plant employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances are listed below: 54 63 50 17 21 65 A) 54.2 B) 438.0 C) 13,975.5 D) 64.9 103) _____ Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 104) 19 6 19 15 14 5 18 15 13 104) _____ A) 5.5 B) 5.2 C) 1.7 D) 4.9 105) 114 105 245 A) 63.6 106) 20.0 21.5 A) 13.11 193 27.4 295 47.3 248 229 B) 25.4 13.1 11.1 B) 37.3 229 170 105) _____ C) 67.9 D) 59.9 106) _____ C) 3285.4 D) 4145.1 107) Mohammed is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Mohammed got the following scores: 50 15 31 27 11 42 71 A) 8715.6 B) 11,341 C) 20.9 D) 31 107) _____ 108) The top nine scores on the organic chemistry midterm are as follows. 66, 43, 86, 45, 68, 62, 29, 62, 90 A) 18.7 B) 19.8 C) 7.7 108) _____ D) 21.2 Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. 109) Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for 109) _____ a sample of men aged 60-69. A) Men aged 20-29: 5.5% Men aged 60-69: 10.7% There is substantially more variation in blood pressures of the men aged 60-69. B) Men aged 20-29: 5.3% Men aged 60-69: 10.3 % There is substantially more variation in blood pressures of the men aged 60-69. C) Men aged 20-29: 8.7% Men aged 60-69: 4.7% There is more variation in blood pressures of the men aged 20-29. D) Men aged 20-29: 5.0% Men aged 60-69: 8.4% There is substantially more variation in blood pressures of the men aged 60-69. 25 110) The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the second system in which each caller is immediately connected with a live agent. A quality control manager selects a sample of seven calls each day. He records the time for each customer to have his or her question answered. The times (in minutes) are listed below. 110) _____ A) Automated Menu: 45.4% Live agent: 28.1% There is substantially more variation in the times for the automated menu system. B) Automated Menu: 25.2% Live agent: 44.2% There is substantially more variation in the times for the live agent. C) Automated Menu: 47.1% Live agent: 29.1% There is substantially more variation in the times for the automated menu system. D) Automated Menu: 48.8% Live agent: 30.2% There is substantially more variation in the times for the automated menu system. Find the standard deviation of the data summarized in the given frequency distribution. 111) A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A) $7461.0 B) $7105.7 C) $7674.1 D) $7887.3 112) The test scores of 40 students are summarized in the frequency distribution below. Find the standard deviation. A) 13.3 B) 12.6 C) 14.7 111) _____ D) 14 112) _____ 26 113) The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the standard deviation. Round your answer to one decimal place. A) 2.9 inch. B) 3.2 inch. C) 3.3 inch. 113) _____ D) 2.8 inch. Solve the problem. Round results to the nearest hundredth. 114) Scores on a test have a mean of 70 and a standard deviation of 11. Fahed has a score of 48. Convert Fahd’s score to a z-score. A) -2 B) 22 C) -22 D) 2 114) _____ 115) 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) 2.13 B) 2.37 C) 2.61 D) 2.67 115) _____ 116) The mean of a set of data is -3.82 and its standard deviation is 2.31. Find the z score for a value of 3.99. A) 3.38 B) 3.04 C) 3.72 D) 3.68 116) _____ 117) 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) 1.34 B) 1.21 C) 1.64 D) 1.48 117) _____ Determine which score corresponds to the higher relative position. 118) 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 688 B) A score of 92 C) Both scores have the same relative position. 118) _____ 119) Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score of 82 on a test with a mean of 75 and a standard deviation of 4? A) Both scores have the same relative position. B) The second 82 C) The first 82 119) _____ 120) Which score has a higher relative position, a score of 327.6 on a test for which 120) _____ , or a score of 22.2 on a test for which and s = 2? A) A score of 327.6 B) Both scores have the same relative position. C) A score of 22.2 = 280 and 27 121) Which score has a higher relative position, a score of 38 on a test for which = 27 and or 121) _____ a score of 262.7 on a test for which = 200 and s = 57? A) A score of 262.7 B) Both scores have the same relative position. C) A score of 38 Find the percentile for the data value. 122) Data set: 55 38 30 66 67 68 data value: 55 A) 57 B) 43 123) Data set: 4 6 14 data value: 14 A) 52 10 124) Data set: 4 13 data value: 6 A) 62 6 8 125) Data set: 122 134 119; data value: 128 A) 85 4 10 44; 122) _____ C) 20 18 18 22 6 B) 70 4 4 13 120 18 12 2 18; 123) _____ C) 35 6 4 13 2 B) 25 126 6 D) 50 128 13 15 D) 60 5 9 4 12 8 6 C) 35 130 B) 62 120 118 125 13; 124) _____ D) 40 122 126 136 C) 75 118 122 124 D) 70 126) In a data set with a range of 63.5 to 102.3 and 200 observations, there are 138 observations with values less than 89.2. Find the percentile for 89.2. A) 32 B) 514 C) 69 D) 114.69 Find the indicated measure. 127) Use the given sample data to find . 49 52 52 52 74 67 55 55 A) 55.0 B) 61.0 125) _____ 126) _____ 127) _____ C) 6.0 128) The weights (in pounds) of 30 newborn babies are listed below. Find 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) 5.8 lb C) 6.4 lb 129) The test scores of 32 students are listed below. Find . 32 37 41 44 46 48 53 55 56 57 59 63 65 66 68 69 70 71 74 74 75 77 78 79 80 82 83 86 89 92 95 99 A) 80 B) 24 C) 79.5 D) 67.0 128) _____ . D) 6.3 lb 129) _____ D) 79 28 Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. 130) 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) 130) _____ B) C) D) 131) 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) B) C) D) 131) _____ 29 132) The test scores of 40 students are listed below. Construct a boxplot for the data set. 25 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) B) C) D) Express the indicated degree of likelihood as a probability value. 133) "You have a 50-50 chance of choosing the correct answer." A) 0.25 B) 0.50 C) 0.9 134) "There is a 40% chance of rain tomorrow." A) 40 B) 0.40 135) "You have one chance in ten of winning the race." A) 1 B) 0.5 Answer the question. 136) Which of the following cannot be a probability? A) -1 B) 137) Which of the following cannot be a probability? A) B) 132) _____ 133) _____ D) 50 134) _____ C) 0.60 D) 4 135) _____ C) 0.90 D) 0.10 C) 0 D) 1 C) D) 136) _____ 137) _____ 138) What is the probability of an event that is certain to occur? A) 1 B) 0.99 C) 0.5 138) _____ D) 0.95 139) What is the probability of an impossible event? A) 1 B) 0.1 D) -1 139) _____ C) 0 140) On a multiple choice test with four possible answers for each question, what is the probability of answering a question correctly if you make a random guess? A) B) 1 C) D) 140) _____ 30 Find the indicated probability. 141) A sample space consists of 174 separate events that are equally likely. What is the probability of each? A) 0 B) C) 1 D) 174 141) _____ 142) On a multiple choice test, each question has 5 possible answers. If you make a random guess on the first question, what is the probability that you are correct? A) B) 5 C) 1 D) 0 142) _____ 143) A die with 6 sides is rolled. What is the probability of rolling a number less than 5? A) 4 B) C) D) 143) _____ 144) A bag contains 2 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue? A) B) C) D) 144) _____ From the information provided, create the sample space of possible outcomes. 145) Flip a coin twice. A) HH TT HT HT B) HT TH C) HH HT TT 145) _____ D) HH HT TH TT 146) Flip a coin three times. A) HHH HHT HTH HTT THH THT TTH TTT B) HHH TTT THT HTH HHT TTH HTH C) HTT THT HTH HHH TTH TTT D) HHH HTT HTH TTT HTT THH HHT THT Find the indicated probability. 147) A 6-sided die is rolled. Find P(3 or 5). A) B) 2 146) _____ 147) _____ C) D) 148) A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). A) B) C) D) 16 148) _____ 149) In one town, 39% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary. A) 0.390 B) 0.152 C) 0.148 D) 0.780 149) _____ 150) Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 6 possible answers. A) B) C) D) 150) _____ 31 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. 151) 151) ____________ 152) 152) ____________ 153) 153) ____________ 154) 154) ____________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean of the given probability distribution. 155) 155) _____ A) μ = 1.55 B) μ = 1.65 C) μ = 1.23 D) μ = 1.13 32 156) The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows. A) μ = 3.60 B) μ = 3.40 C) μ = 3.35 D) μ = 3.50 157) The number of golf balls ordered by customers of a pro shop has the following probability distribution. A) μ = 9.66 B) μ = 6.99 C) μ = 7.86 B) σ = 2.90 C) σ = 1.35 158) _____ D) σ = 1.70 159) The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate Office. Its probability distribution is as follows. Find the standard deviation for the probability distribution. A) σ = 2.62 B) σ = 6.86 C) σ = 2.25 157) _____ D) μ = 9 Provide an appropriate response. Round to the nearest hundredth. 158) Find the standard deviation for the given probability distribution. A) σ = 1.30 156) _____ D) σ = 4.45 159) _____ 33 160) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the standard deviation for the probability distribution. A) σ = 1.12 B) σ = 1.88 C) σ = 0.96 160) _____ D) σ = 0.98 Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 161) 161) _____ A) 0.8708 B) 0.1292 C) 0.8907 D) 0.8485 162) 162) _____ A) 0.2776 B) 0.7224 C) 0.2224 D) 0.2190 163) 163) _____ A) -0.0344 B) 0.9656 C) 0.4656 D) 0.0344 34 164) 164) _____ A) 0.3576 B) 0.8212 C) 0.6424 D) 0.1788 Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 165) Shaded area is 0.9599. 165) _____ A) 1.03 B) -1.38 C) 1.82 D) 1.75 166) Shaded area is 0.4013. A) -0.25 166) _____ B) -0.57 C) 0.57 D) 0.25 35 Provide an appropriate response. 167) Determine which plot shows the strongest linear correlation. A) B) C) 167) _____ D) Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 168) Shaded area is 0.0901. 168) _____ A) -1.26 B) -1.34 C) -1.39 D) -1.45 36 169) Shaded area is 0.0401. A) -1.89 169) _____ B) -1.48 C) -1.75 D) -1.63 Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 170) 170) _____ A) 0.1401 B) 0.8599 C) 0.2802 D) 0.7198 37 Construct a scatterplot for the given data. 171) 171) _____ A) B) C) D) 38 172) 172) _____ A) B) C) D) 39 Determine which scatterplot shows the strongest linear correlation. 173) Which shows the strongest linear correlation? A) B) 174) Which shows the strongest linear correlation? A) B) C) 173) _____ C) 174) _____ 40 Find the value of the linear correlation coefficient r. 175) A) -0.2 B) 0.2 175) _____ C) 0 D) -0.178 176) 176) _____ A) 0.109 B) 0.214 C) -0.078 D) -0.054 177) 177) _____ A) -0.081 B) -0.775 C) 0 D) 0.754 178) The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. A) 0.224 B) -0.678 C) -0.224 D) 0.678 179) The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands): A) 0.708 B) -0.071 C) 0.235 178) _____ D) 0.246 179) _____ 41 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) 41) 42) 43) 44) A B B B B A A B B A A B B B D D C C Sample: the 3 selected customers; population: all customers; not representative Sample: the 100,000 selected adults; population: all adults; representative Sample: the 50,000 selected college students; population: all college students; representative A B B B B C D B A C C C C D B D A D B B C A 42 45) 46) 47) 48) 49) 50) 51) 52) 53) 54) 55) 56) 57) 58) 59) 60) 61) 62) 63) D C D B B A B B A D A B A A D 43 64) Trend: Answers will vary. Possible answer: High closing stock values show a decrease from 1990 through 1992, after which the value of the stock rose through 1998. Another decrease occurred in 1999 and continued through 2001. 65) 66) 67) 68) 69) 70) 71) 72) 73) 74) 75) 76) 77) 78) 79) 80) 81) 82) 83) 84) 85) 86) 87) 88) 89) 90) 91) 92) 93) 94) 95) 96) 97) B C D A A B A B A B C D D B A A D C D D A C B B B D B A C A D B C 44 98) 99) 100) 101) 102) 103) 104) 105) 106) 107) 108) 109) 110) 111) 112) 113) 114) 115) 116) 117) 118) 119) 120) 121) 122) 123) 124) 125) 126) 127) 128) 129) 130) 131) 132) 133) 134) 135) 136) 137) 138) 139) 140) 141) 142) 143) 144) 145) 146) C A A A C B B A A C B B A B D D A B A A B B A B B D C C C B C C A C D B B D A D A C C B A D C D A 45 147) 148) 149) 150) 151) 152) 153) 154) 155) 156) 157) 158) 159) 160) 161) 162) 163) 164) 165) 166) 167) 168) 169) 170) 171) 172) 173) 174) 175) 176) 177) 178) 179) D B B C Not a probability distribution. The sum of the P(x)'s is not 1, since 0.977 ≠ 1.000. Probability distribution. Not a probability distribution. The sum of the P(x)'s is not 1, since 1.113 ≠ 1.000. Not a probability distribution. One of the P(x)'s is negative. C A A A A D A A B C D A A B C D A C C B A A B A A