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1. Tell whether correlation is being used correctly. Identify any statistical errors. Sean has a theory that the average weight of an animal has a

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1. Tell whether correlation is being used correctly. Identify any statistical errors. Sean has a theory that the average weight of an animal has a high correlation with the number of letters in its name. He checks his theory by gathering data on a rat. a bat. a fox, and a great blue whale. Sure enough, the correlation coefcient is higher than 0.99! 2. Tell whetherthe sampling strategy will result in a random sample from the population under consideration. If it is not random, explain why it is not. a. The HR director of a large law.I rm wants to survey a random sample of the rm's 32-5 employees. She numbers the employ- ees alphabetically and uses her daughter's calculator to choose 50 distinct numbers with the command "randlnt{ l. 326. 50)." b. When 50 qualied students audition for the ve chorus roles in the school musical. the director decides to choose the five cho- rus members randomly. He tells them to form ve lines of ten people: then he announces that the seventh person in each line will be in the chorus. To choose 9 random campers to represent Camp Pathnder in a baseball game with Camp Ahmek, the counselors hold try: outs and choose the best 9' players. 3. ldentifythe biasr tell howthe sample statistic might differ signicantlyfrom the population parameter, and suggest howthe problem might be corrected. a. To gather feedback on his teaching, Professor Jones invites his students to visit his Web site and respond to a brief question naire. He is depressed to discover that 63% of those who re- spond are dissatised with his teaching. b. A group seeking taxpayer support for a new playground sends pollsters to all the local PTA meetings to ask. "Do you support the use of city taxes- to fund a new park that will provide a safe and convenient recreation facility for your children?\" A grati fying 33% respond yes. Finding st Hundnnt Sample me S peeple wh attend a banquet, the caterer plans te- chaese SE at tandem ta ll c-ut a brief questitmttaire lJlll the service. The seats at the banquet have already been numbered l to sea Haw can the caterer use a graphing cs]cu]atur ta select the tandem sample?r

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