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Exam I-Part I (100') MA222 - Business Statistics Embry-Riddle Aeronautical University Fall 2019 No.Name (print) _Signature _ Part I: Multiple - choice question. (3.5'*14 = 49') 1. You want to conduct a survey to determine the proportion of eligible voters in Florida likely to vote for the Democratic presidential candidate in the next election. Which sample is most likely to be a representative sample? A). All eligible voters in Leon County B). All eligible voters in the city of Orlando C). All eligible voters who respond to a CNN Internet survey D). Every l 000th person on a complete list of all eligible voters in Florida 2. Select the description that most completely classifies the given variable. Results Ji-om a clinical trial: true positive, false positive, true negative, false negative A) CategoricalB) Quantitative 3. Find the mode(s) for the given sample data. Last year, nine employees of an electronics company retired. Their ages are: 556368545765625850 A) 58 yearsB) No modeC) 59.1 years D) 55 years, 63 years, 68 years, 54 years, 57 years, 65 years, 62 years, 58 years, 50 years 4. The randonmess of a sample tends to lead to a(n) estimate. A) PreciseB) Accurate ( 5 ) 5. A sample consists of every 25th student from a group of 496 students. What's the sampling technique he/she uses? A) SystematicB) Simple random 6. Based on a recent survey of adults in 88,000 households, the U.S. Labor Department reported an unemployment rate of 4.4%. The sample statistic for the study is A)4.4%.B) 88,000 and 4.4%.C) 88,000 7. Identify the distribution as symmetric, left-skewed, or right-skewed. The annual incomes of all those in a statistics class, include the instructor A) Right-skewedB) Left-skewedC) Symmetric 8. Obtain the five-number summary for the test scores of 15 students listed below. 40 44 48 53 56 60 66 69 73 79 85 87 90 94 95 A) min= 40, QI = 53, median= 71.0, Q3 = 87, max= 95 B) min= 40, QI = 51.75, median= 71.0, Q3= 85.5, max= 95 C) min= 40, QI= 51.75, median= 69, Q3 = 85.5, max= 95 D) min= 40, QI= 53, median= 69, Q3 = 87, max= 95 9. The following data set is the GPA's of the students in a statistics class. 1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75, 2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69 What is the percentile for a GPA of2.85? A) 60thB) 65'hC) 35thD) 40th I 0.Suppose that your income is at the 82th percentile of wage earners in the United States.What percent of wage earners make more than you? A) 82% C) Cannot be calculated from the information given B) 18% D) None of the above 11. The median value must be a specific value within the data set. ls this true or false? A) TrueB) False 12. 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. Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading less than or equal to 120? A) 35%B) 3.5%C)5%D) 50% Relative F:requ.ency 0.35 0.30 0.25 0,20 0.15 0.10 0,05 0.00 100 110 120 130 140 150 160 Systolic Blood Pressme (rnm Hg) 13. Which of the distributions is skewed to the right? A) B) ( i _J_\ I -f c:'... -t- / " .....l. _./ \ .:,, .. ) ( i / \ '· "-, ' 'c c : - , .... .... ) ( .... . , . ...... 7 u ·1 / ,,,./ 1.---- I \ )C) 14. The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg's for the five models ofa manufacturer are 19, 21, 22, 28, and 18, and the government requirement is 29 mpg. The last of the models is to be redesigned to meet the government requirement. What must the new mpg of this model be to meet the requirement? A) 30 mpgB) 37 mpgC) 66 mpgD) 55 mpg Part II: Short answer question. (51 points) 15. (10 points)We want to know what percent of this term's Statistics students are also taking Spanish. We randomly select 40 students in our class and ask if they are also taking Spanish, answer YES or NO. It turns out that 15 of them say YES so we calculate that 37.5% of them are also taking Spanish. FSU administrators want a truer percent so they poll all of this term's Statistics students and find that 29.8% of them are also taking Spanish. Identify the following in the story. Population: Sample: Sample Statistics: Population Parameter: 16. (5 points)A car insurance company conducted a survey to find out how many car accidents people had been involved in. They selected a sample of 32 adults and asked each person how many accidents they had been involved in the past ten years. 0 1 0 3 2 1 0 2 1 1 1 0 2 0 4 1 2 0 0 1 0 2 1 3 1 3 0 0 1 0 5 4 Create a frequency table for the number of car accidents. 17. (6 points) The boxplot below displays some data. (Note: the grid lines on this boxplot are not perfect. Use them as a guide. I will not penalize if you answer is off by± 3) a) Identify the median of the distribution _ b) Identify the first quartile of the distribution _ c) Identify the shape of the distribution _ 18(1.0 points) Find the range and the standard deviation. Please show detailed steps to get full points. Round to two decimal place for every step. Ages of selected U.S Presidents at the time of inauguration: 57615748586154 sum of (deviations from the mean)2 (Hint: standard deviation ;;;; total number of data values - 1) Use the following to answer questions 25 (a), 25(b )and 25(c). 19. Data are collected on the daily expenditures of a sample of 11 urban households on food. The expenditures are as follows: 71284187810816911 (a). (5 points) Calculate the mean, median and mode expenditure. Round to two decimal places. (b). (5 points) For this problem, the mean and median, which one is a better indicator? Why? (c). (10 points) Determine the quartiles of the expenditures. Show all your work and do not round your answers. 20. The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class? A) The mean will increase; the median will be unchanged. B) The median will increase; the mean will be unchanged. C) Neither the mean nor the median will change. D) Both the median and the mean will increase. ( 6 ) Bonns (S'): Tell me 1. the story (or history) about your name. 2. A crazy/funny story about yourself. Thanks for your efforts in this class© -------- Tingting