APStatistics 5.02 Working with the Random Number Table Directions: Complete the assignment. Clearly label each answer. The last page contains the Random Number Table. (28 points) 1. Forty-three students participated in a lottery for one of three free laptops. Fifteen of the students were in the same sorority. When all three of the winners were in the same sorority, several students were concerned that the drawing was not fair. Use a simulation of 10 trials to determine whether an allsorority outcome could reasonably be expected if everyone had an equal opportunity to win one of the laptops. a. Identify the component to be repeated: (2 points) b. Explain how you will model the outcome: (3 points) c. Identify the response variable: (2 points) d. Run the ten trials and record your results. Use the random number table shown below beginning at Row 20. (5 points) e. Summarize your results (1 point): f. State your conclusion (5 points): 2. In the Mutant Sea Monkey population, approximately ten percent of the population have a third eye. A researcher wants to know how many Mutant Sea Monkeys, on average, he needs to draw from a population to get 3 Mutant Sea Monkeys with a third eye. Use the Random Number Table rows 2526 to carry out the simulation. Explain clearly how to set up the problem and report the findings. (10 points) Row 20 Random Number Table 39634 62349 74088 65564 16379 19713 39153 69459 17986 24537 14595 35050 40469 27478 44526 67331 93365 54526 22356 93208 30734 71571 83722 79712 25775 65178 07763 82928 31131 30196 64628 89126 91254 24090 25752 03091 39411 73146 06089 15630 42831 95113 43511 42082 15140 34733 68076 18292 69486 80468 Row 25 80583 70361 41047 26792 78466 03395 17635 09697 82447 31405 00209 90404 99457 72570 42194 49043 24330 14939 09865 45906 05409 20830 01911 60767 55248 79253 12317 84120 77772 50103 95836 22530 91785 80210 34361 52228 33869 94332 83868 61672 65358 70469 87149 89509 72176 18103 55169 79954 72002 20582 Row 30 72249 04037 36192 40221 14918 53437 60571 40995 55006 10694 41692 40581 93050 48734 34652 41577 04631 49184 39295 81776 61885 50796 96822 82002 07973 52925 75467 86013 98072 91942 48917 48129 48624 48248 91465 54898 61220 18721 67387 66575 88378 84299 12193 03785 49314 39761 99132 28775 45276 91816 Row 35 77800 25734 09801 92087 02955 12872 89848 48579 06028 13827 24028 03405 01178 06316 81916 40170 53665 87202 88638 47121 86558 84750 43994 01760 96205 27937 45416 71964 52261 30781 78545 49201 05329 14182 10971 90472 44682 39304 19819 55799 14969 64623 82780 35686 30941 14622 04126 25498 95452 63937 Row 40 58697 31973 06303 94202 62287 56164 79157 98375 24558 99241 38449 46438 91579 01907 72146 05764 22400 94490 49833 09258 62134 87244 73348 80114 78490 64735 31010 66975 28652 36166 72749 13347 65030 26128 49067 27904 49953 74674 94617 13317 APStatistics 5.05 Experimental Design Directions: Complete the assignment. Clearly label each answer. (30 points) 1. What method is the only one that will establish a cause-and-effect relationship? (1 point) 2. What two elements are the most important in minimizing the placebo effect? (1 point) 3. A small business wants to survey its client base of 56 customers. The business has a business card from each of its customers, and all of the business cards are of the same size. What is the simplest and most effective method the business can use to select 15 customers to survey? (3 points) 4. A tendency to favor the selection of certain members of a population is known as _____? (1 point) 5. A high school is trying to decide whether or not it should spend money on re-paving the student parking lot or building a tennis court. The high school wants feedback from the students attending the school. What kind of sample would be best for the high school to conduct and why? (3 points) 6. A local community service center wants to survey community members to help identify programs that would benefit the neighborhood. The director of the community service center uses the phone book to identify community households by zip code. The director plans to randomly select the households in the neighborhood to conduct a telephone survey. This method is most strongly affected by what type of bias and why? (3 points) 7. A veterinarian is interested in determining whether or not an overweight dog would benefit more from daily 30 minute walks or from 30 minutes of daily play in a dog park. Design an experiment for the veterinarian, using 60 chubby dogs. (9 points) 8. A middle school student wants to study the effect of bacon grease mixed in with water will have on the growth rate of tomato plants. The student has mixed one solution with bacon grease to use in the experiment. The student has 40 plants of the same age, and not all the plants will be able to sit in direct sunlight - some of the plants will sit in indirect sunlight. How should the student set up the experiment? (9 points) APStatistics 6.04 Rules of Probability Directions: Complete the assignment. Clearly label each answer. Show all work by using fractions. Each letter is worth 2 points. 1 point for the correct solution and 1 point for showing correct calculations. (34 points) 1. You have a standard deck of 52 cards and select one at random. Calculate each probability. (4 points: 2 points per problem) Note: Show work by using fractions. a. P(getting a red card or a queen) b. P (getting a black club or a red diamond) 2. Now you randomly select a card from a standard deck of 52 cards, and then, without replacing the first card, you randomly select another card from the same deck. Calculate each probability. (4 points: 2 points per problem) Note: Show work by using fractions. a. P(getting a red card and then a black card) (2 pts) b. P (getting a queen and then an ace) 3. Now you randomly select a card from a standard deck of 52 cards, put it back into the deck, and randomly select a second card. (4 points: 2 points per problem) Note: Show work by using fractions. a. P(getting a king of hearts and a spade) b. P(getting a jack and a red king) 4. Below is some hypothetical data on the music preferences of individuals of different age groups. Use this information to compute the following probabilities: (8 points: 2 points for each problem) Hip Hop Rock Country Totals Teenager Adult 1000 360 2 1362 5 960 240 1205 Senior Citizen 0 175 850 1025 Totals 1005 1495 1092 3592 a. What is the probability that a randomly selected individual likes country music? b. P (Senior Citizen and Hip Hop fan) c. What is the probability that a randomly selected individual is either an adult or a rock music fan? d. P (Hip Hop fan, given that the individual is a teenager) 5. In a random sample of male and female New York street performers between the ages of 2235 you know that: the probability a man is a mime is 0.30. the probability a woman is a spray paint artist is 0.165 the probability a man is a break dancer, given that he's a mime is 0.250. the probability a woman is a faux statue is 0.550. the probability a woman is a faux statue, given that she's a spray paint artist is .065. Compute the following probabilities: (6 points: 2 points for each problem) a. P(woman is a spray paint artist and a faux statue) b. P (woman is a spray paint artist or a faux statue) c. P (man is a mime and a break dancer) 6. Two hundred athletes were classified according to gender as follows (each athlete participates in only one sport) in the table below. An athlete is selected at random. (12 points: 2 points for each problem) Track Basketbal l Tennis Male 30 60 30 Female 15 50 15 a. What is the probability that the athlete runs track? b. What is the probability that the athlete is a female basketball player? c. If the athlete is known to play tennis, what is the probability that the athlete is female? d. What is the probability that the athlete is male or runs track or both? e. Are the events being a male and playing tennis mutually exclusive? Justify your answer. f. Are the events being a female and playing basketball independent? Justify your answer. Unit 5 Exam Producing Data Free Response Directions: Complete the assignment. Your answers for this assignment must include reasons; simply stating the answer without justification will earn partial credit. 1. A game of chance is based on spinning a 09 spinner like the one shown two times in succession. The player wins if the larger of the two numbers is greater than 5. a. What constitutes a single play of this game? What are the possible outcomes resulting in win or lose? (6 points) b. Describe a correspondence between the random digits from a Random Number Table and outcomes in the game. (6 points) c. Use the Random Number Table to simulate 20 repetitions. Using the table, begin at line 37. Report each trial and the proportion of times you win the game. (6 points) Row 35 Row 37 77800 25734 09801 92087 02955 12872 89848 48579 06028 13827 24028 03405 01178 06316 81916 40170 53665 87202 88638 47121 86558 84750 43994 01760 96205 27937 45416 71964 52261 30781 78545 49201 05329 14182 10971 90472 44682 39304 19819 55799 14969 64623 82780 35686 30941 14622 04126 25498 95452 63937 2. Bias is present in each of the following sampling designs. In each case, identify the type of bias involved and state whether you think the sampling frequency obtained is lower or higher than the actual population parameter. a. A political pollster seeks information about the proportion of American adults that oppose gun control. He asks a SRS of 1000 American adults: \"Do you agree or disagree with the following statement: Americans should preserve their constitutional right to keep and bear arms.\" A total of 910, or 91%, said \"agree\" (that is, 910 out of the 1000 oppose gun control) (6 points: 2 points type of bias; 2 points explanation of bias; 2 points estimate higher/lower population parameter) b. A flour company in Minneapolis wants to know what percentage of local households bake at least twice a week. A company representative calls 500 households during the daytime and finds 50% of them bake at least twice a week. (6 points) 3. Turkeys raised commercially for food are often fed the antibiotic salinomycin to prevent infections from spreading among birds. However, salinomycin can damage the birds' internal organs, especially the pancreas. A researcher believes that a combination of selenium and vitamin E in the birds' diet may prevent injury. He wants to explore the effects of two different dosages of selenium (S1 and S2) in combination with any three different dosages of vitamin E (E1, E2, and E3) added to the turkeys' diets. There are 48 turkeys available for the study. At the end of the study, the birds will be killed and the condition of their pancreas examined with a microscope. Name and describe an appropriate design for this experiment. (20 points). Hello, I am still handling your assignment. Would you mind giving me an extra day? I will submit correct and quality solutions. Thank you. Hi, once you find the answers, please change the deadline by just 5 minutes. I have been flagged by the system due to late submission. You are the only one who can save me now. Thanks. Hi, once you find the answers, please change the deadline by just 5 minutes. I have been flagged by the system due to late submission. You are the only one who can save me now. Thanks