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Problem 81

A Nissan Motor Corporation advertisement read, 鈥淭he average man鈥檚 I.Q. is 107. The average brown trout鈥檚 I.Q. is 4. So why can鈥檛 man catch brown trout?鈥 Suppose you believe that the brown trout鈥檚 mean I.Q. is greater than four. You catch 12 brown trout. A fish psychologist determines the I.Q.s as follows: 5; 4; 7; 3; 6; 4; 5; 3; 6; 3; 8; 5. Conduct a hypothesis test of your belief.

Problem 84

A poll done for Newsweek found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent鈥檚 survey, would you agree with the Newsweek poll? In complete sentences, also give three reasons why the two polls might give different results.

Problem 91

"Dalmatian Darnation," by Kathy Sparling A greedy dog breeder named Spreckles Bred puppies with numerous freckles The Dalmatians he sought Possessed spot upon spot The more spots, he thought, the more shekels. His competitors did not agree That freckles would increase the fee. They said, 鈥淪pots are quite nice But they don't affect price; One should breed for improved pedigree.鈥 The breeders decided to prove This strategy was a wrong move. Breeding only for spots Would wreak havoc, they thought. His theory they want to disprove. They proposed a contest to Spreckles Comparing dog prices to freckles. In records they looked up One hundred one pups: Dalmatians that fetched the most shekels. They asked Mr. Spreckles to name An average spot count he'd claim To bring in big bucks. Said Spreckles, 鈥淲ell, shucks, It's for one hundred one that I aim.鈥 Said an amateur statistician Who wanted to help with this mission. 鈥淭wenty-one for the sample Standard deviation's ample: They examined one hundred and one Dalmatians that fetched a good sum. They counted each spot, Mark, freckle and dot And tallied up every one. Instead of one hundred one spots They averaged ninety six dots Can they muzzle Spreckles鈥 Obsession with freckles Based on all the dog data they've got?

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