141-meyer-07fafin - Math 141 Final Exam Meyer Name 1 What...

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Unformatted text preview: Math 141 Final Exam Meyer Name: 1. What is the earliest possible completion time for a job whose order-requirement is shown below? T1 T2 T3 T4 A) 10 V B) 17 C) 40 D) 15 2. Suppose you invest in an account that pays 5% interest, compounded quarterly. You would like your investment to grow to $5000 in 16 years. How much would you have to invest in order for this to happen? A) $2258 B) $2374 C) $3 125 D) $4153 3. The Chavez family has decided to save up for a new spa. They want to save $10,000 in five years. They find a savings account for which interest is compounded monthly at 8.2%. How much will they have to deposit each month to meet this goal? A) $54 B) $97 C) $135 D) $256 Page 1 4. Suppose you have a student loan of $60,000 with an APR of 8% for 25 years. What are the monthly payments? A) 400.00 B) 448.16 C) 463.09 D) other 5. Below are the number of errors made by a typist on various pages of typing. Find the first quartile for the number of errors. 14, 6, 12, 19, 2, 35, 5, 4, 3, 7, 5, 8 A) 5 ' B) 13 C) 15.5 D) 4.5 6. For the scatterplot below, what can you say about the correlation? 1:397:13; 53?: at»: . m ’ rs:- ' a. 113i - 1.? Q ‘1 6! vii? i I 3. I U I! ti? "et- an M e0 9:5 ’fwareizm A) The correlation is greater than 1. B) The correlation is exactly 1. C) The correlation is between 0 and l. D) The correlation is negative. 7. For professional baseball players, one would expect a negative correlation between A) batting average and salary. B) years of play and salary. C) number of home runs and salary. D) number of errors and salary. Page 2 8. In order to determine the mean weight of bags of chips filled by its packing machines, a company inspects 50 bags per day and weighs them. In this example, the population is A) the 50 bags inspected each day. V B) all potato chips produced by the company. C) all bags of chips produced by the company. D) the weight of the 50 bags inspected. 9. Which of the following sampling techniques is most likely to produce biased results? A) Multi-stage random sampling B) Sampling using a random digits table C) Voluntary response sampling D) Simple random sampling Use the following to answer question 10: Use the following random digits to answer the question(s) below: 101 01033 08705 42934 79257 89138 21506 26797 102 49105 00755 39242 50772 44036 54518 56865 103 61589 35486 59500 20060 89769 54870 75586 104 \ 08900 87788 73717 19287 69954 45917 80026 105 75029 51052 25648 02523 84300 83093 39852 106 91276 88988 12439 73741 30492 19280 41255 107 74008 72750 70742 67769 72837 27098 07049 108 98406 2701 1 763 85 15212 03 806 85928 76385 10. Beginning with line 102 of the random digits table above, select three individuals from the list below to serve on a student affairs committee. 01 Crosby 06 Jones 11 Turner 16 Bush 02 Hunter 07 Smith 12 Baker 17 Thompson 03 Cooper 08 Davis 13 Wilson 18 Goodman 04 Grant 09 Ewing 14 Adams 19 Stevens 05 Riley 10 Doe 15 Hill 20 Williams A) Cooper, Doe, Smith B) Doe, Ewing, Grant C) Doe, Smith, Smith D) Crosby, Ewing, Grant Page 3 11. 12. 13. 14. 15. 16. A poll asked 956 licensed drivers whether they supported a nationwide lowering of the drunk driving limit to 0.08% BAC (blood alcohol content), and 72% said they did. Estimate a 95% confidence interval for actual percentage among all licensed drivers. A) 70.5% to 73.5% B) 69% to 75% C) 71.8% to 72.2% D) 70% to 74% A die is rolled and a coin is flipped simultaneously. The number rolled on the die and whether the coin lands heads or tails is recorded. How many outcomes are in the sample space? ' A) 8 B) 6 C) 10 D) 12 Three dice are rolled and the sum of the numbers rolled is recorded. The outcomes (i.e. the sums) are all equally likely. A) True B) False There are seven blue and Six black socks in a drawer. One is pulled out at random. Find the probability that it is black. A) 6/13 B) 6/7 C) 1/2 D) 1/6 A fair coin is tossed three times. Find the probability of getting exactly two heads. A) 1/2 B) l/3 C) 2/3 D) 3/8 A computer system requires users to have an access code that consists of a three-digit number that is not allowed to start with zero and cannot repeat digits. How many such codes are possible? A) 990 B) 648 C) 729 D) 720 Page 4 17. 18. 19. Either Terry, Chris, or Kim will attend a party. The probability Terry attends is 0.31 and the probability Chris attends is 0.5. What is the probability that Kim attends? A) 0.33 B) 0.5 C) 0.81 D) 0.19 A raffle ticket costs $5. First and second prize winners will be drawn at random. The probability of winning the $100 first prize is 1/40 and the probability of winning the $25 second prize is 1/20. What is the mean winnings for one play, taking into account the $5 cost of the ticket? A) —1.25 B) —0.875 C) 3.375 D) 3.75 A vacation enterprise is highly dependant on the weather being sunny. The probability of a sunny day is 65%. What is the probability of it being rainy at least once in five days? A) .5% B) 12% C) 88% I . D) other 20. 21. Three ranked positions in a company must be filled randomly from a pool of 12 qualified people that consists of 6 men and 6 women. What is the probability that the positions will be filled by all males? A) 1.35 ’ B) 0.091 C) 0.45 D) other The annual income of residents in a county is $42,000 with a standard deviation of $10,000. Between what two values do 95% of the incomes of county residents lie? A) $40,000 and $44,000 B) $22,000 and $62,000 C) $32,000 and $52,000 D) $30,000 and $50,000 Page 5 22. A group of 12 students have to decide among three types of pizza: Sausage (S), Mushroom (M), and Beef (B). Their preference rankings are shown below. ’ Which choice will the group make if they use a single runoff? Number of Students 3 ‘ 3 2 2 2 First choice B ' M S B S Second choice M B ' M » S M Third choice S S B M B A) B B) M C) S D) a winner cannot be determined 23. Same situation as before.Which choice will the group make if they use pairwise comparison? A) B B) M C) S D) a winner cannot be determined 24. Same situation as before.Which choice will the group make if they use sequential runoff? A) B B) M C) S D) a winner cannot be determined 25. Same situation as before.Which choice will the group make 'if they use the Borda count? A) S B) M C) B D) No winner can be chosen. v Page 6 26. Consider the preference schedule: Number of voters 4 6 8 4 First choice D C A B Second choice C B D C Third choice B D C D Fourth choice A A B A Suppose the winner is determined by single runoff. This will not satisfy the Criterion of Irrelevant Alternatives. This can be shown by eliminating A) A B) B C) D D) cannot be determined 27. A five—member evaluating committee votes by approval voting on 10 faculty members for a promotion as indicated in the table below. An “X" indicates an approval vote. individual ballots: Candidatesvoter 1 voter 2 voter 3 voter 4 voter 5 A X X . X X ' B X X X X X C X X D X X X E X X X F X X G X X X H X X I X X X J X X X X Which faculty member is chosen for the promotion if just one of them is to be selected? A) A B) B C) F D) J Page 7 28. Suppose that Andi and Terry view a cake as shown below. They agree to divide the cake uSing the divide-and—choose procedure. If Andi divides the cake, where will the cut be made? ' fl% Audi's view Terry's View A) 2 columns from the left B) 1 2/3 columns from the left C) 2 1/2 columns from the left D) 2 1/3 columns from the left 29. Chris and Terry must make a fair division of a stereo, television, and microwave. They place point values on the objects as shown below. Using the adjusted winner procedure, what does Terry receive? iject Chris's points legy's points 25 45 Stereo Television , 60 35 Microwave 15 20 A) Stereo and 1/4 of microwave B) Microwave and 6/7 of television C) Stereo and 6/7 of micrOwave D) Stereo and microwave 30. Three children must make fair division of a painting and sculpture left them by their ' mother. Using the Knaster inheritance procedure, the value each child places on the objects is shown below. Qbisfl . A B Q Painting $4000 $6300 $6000 Sculpture $2300 $1 800 $2400 Who gets the sculpture? A) A ' B) B C) C Page 8 ...
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