311PracticeMidterm1Su07Soutions

# 311PracticeMidterm1Su07Soutions - Stat 311 Midterm 20 July...

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Stat 311 Midterm Name:______ KEY _______ 20 July 2007 Section:__________________ 1 This is a closed book exam. You are allowed, however, to have one sheet (double-sided) of 8.5 x 11 paper with notes, either handwritten or typed. You may also use a calculator, although be sure to show your work. The exam consists of seven problems worth a total of 100 points. Point values for each part of a question are designated in parentheses at the beginning of the problem. Be sure to show your work as indicated in order to receive credit.

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2 Problem 1 (4+4+4): You are participating in a standard deviation contest. You must choose four numbers from the whole numbers 10 through 20, with repeats allowed. a) Choose four numbers that have the smallest possible standard deviation. 10, 10, 10, 10 b) Choose four numbers that have the largest possible standard deviation. 10, 10, 20, 20 c) Is there more than one choice possible in either a) or b)? Explain. a) has 11 possible choices; any of the numbers 10 – 20 as long as you choose the same 4 numbers b) has only one choice; using the min and max maximizes the deviations Î largest SD Problem 2 (6+4+4): Below is a table giving the annual home run totals for Roger Maris when he played for the Yankees. 13
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311PracticeMidterm1Su07Soutions - Stat 311 Midterm 20 July...

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