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Unformatted text preview: STAT 205 Name:__ANSWER KEY ______________ Spring 2007 Exam 1 s 2 = ) 1 ( ) ( 2 1 n y y i n i P{E 1 U E 2 } = P{E 1 } + P(E 2 } – P{E 1 ∩ E 2 } P{E 1 ∩ E 2 } = P{E 1 }P{E 2 | E 1 } μ Y = ∑y i P{Y = y i } σ Y 2 = ∑(y i – μ Y ) 2 P{Y = y i } = E(Y 2 ) – (E(Y)) 2 P{Y = j} = n C j p j (1 – p) n-j μ Y = np σ Y 2 = np(1 – p) Z = ) ( Y Part I: Answer six of the following seven questions. If you complete more than six, I will grade only the first six. Five points each. Use this fruit fly experiment to answer any of the first three questions. In a behavioral study of the fruitfly Drosphila melangoster , a biologist measured the total time spent preening during a six-minute observation period for each of 20 flies. The following are the preening times (in seconds) for the 20 flies: 10, 16, 18, 19, 22, 24, 24, 25, 26, 29, 31, 32, 33, 34, 46, 48, 48, 52, 57, 76 1) Construct an ordered stemplot for these data. Preening Times for 20 Drosphilia Melangoster 1 | 0 6 8 9 2 | 2 4 4 5 6 9 3 | 1 2 3 4 4 | 6 8 8 5 | 2 7 6 | 7 | 6 KEY: 3|1 means 31 seconds 2) Fill in the blank. Report the five number summary for the fruit fly data. {10, 23, 30, 47, 76} Using TI-83/84 Enter data in List 1, then STAT -> scroll over to CALC -> Enter to choose 1-Var Stats -> enter L 1 after the 1-Var Stats prompt. Scroll down to see the five number summary....
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