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Name:\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\

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SS\#:\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\

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\huge{Test 3}

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{\bf Instructions}: Answer all seven problems, two on each answer sheet. Put the number
of the problems you are doing at the top of the answer sheet.\\
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All problems are worth the same amount.\\
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1. In their landmark study, the Hostess corporation kept 100 College Park\\
\ \ \ \ squirrels under strict surveillance.  Interested in the average number of\\
\ \ \ \ Twinkies these squirrels consumed last year, they reported a sample\\
\ \ \ \ mean of 3.12 and a sample standard deviation of .27. Give a 98\%\\
\ \ \ \ confidence interval for the actual mean average of Twinkies consumed\\
\ \ \ \ last year.\\
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2. Jacob is doing a problem for his statistics homework.  Part (a) asks for a\\
\ \ \ \ standard error which he calculates sucessfully to be 4.53.  Unfortunately,\\
\ \ \ \ Jacob bought the book used from some dirty guy, so the question in part\\
\ \ \ \ (b) is smudged.  He can tell it asks for an error, but cannot tell for what\\
\ \ \ \ percent confidence.  The answer in the back says 9.29. What is the\\
\ \ \ \ percent confidence (b) asks for?\\
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3. Of 200 statistics instructors rounded up, 25 finally admitted (some after\\
\ \ \ \ hours of torture) that they indeed know what a lemur is.  Give a 94\%\\
\ \ \ \ confidence interval for the actual proportion of all statistics\\
\ \ \ \ instructors who know what a lemur is.\\
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4. Suppose we want to estimate the actual proportion of students who, if\\
\ \ \ \ given the opportunity, would gather up all the statistics books up in a big\\
\ \ \ \ pile and light them on fire (a Bore-B-Que). Though many hypothesize\\
\ \ \ \ this proportion must be high, we actually have no idea what the real\\
\ \ \ \ proportion is.  How many people should we question if we want to\\
\ \ \ \ determine a 95\% error term which is less than .01?
 

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