07 STAT HWB a - Dr. V.R. Bencivenga Economics 329 PRACTICE...

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Dr. V.R. Bencivenga Economics 329 PRACTICE ASSIGNMENT #7B: RIGHT ANSWERS 1.a. X i = diameter of propeller i ) , ( N ~ X 2 i = 100 = .02 9974 . ] 9987 . 1 [ 9987 . ) 3 ( F ) 3 ( F ) 3 Z 3 ( P 02 . 100 06 . 100 X 02 . 100 94 . 99 P ) 06 . 100 X 94 . 99 ( P i i b. n ,.... , 1 i , X i are i.i.d. ) , ( N 2 n = 100 n , N ~ X 2 because the population is normal 9974 . ] 9987 . 1 [ 9987 . ) 3 ( F ) 3 ( F ) 3 Z 3 ( P 100 02 . 100 006 . 100 n X 100 02 . 100 994 . 99 P ) 006 . 100 X 994 . 99 ( P 2.a. X i = percentage increase in salary of CEO i n ,.... , 1 i , X i are i.i.d. ) , ( N 2 = 5.5 2 = 4 n = 25 n , N ~ X 2 because the population is normal 8 . 7994 . ] 8997 . 1 [ 8997 . ) 28 . 1 ( F ) 28 . 1 ( F ) 28 . 1 Z 28 . 1 ( P 25 2 5 . 5 013 . 6 n X 25 2 5 . 5 987 . 4 P ) 013 . 6 X 987 . 4 ( P b. 2 1 n 2 2 ~ s ) 1 n ( because the population is normal ) 18 . 33 66 . 15 ( P 4 53 . 245 ( s ) 1 n ( 4 61 . 2 ) 24 ( P ) 53 . 5 s 61 . 2 ( P 2 24 2 2 2 8 . 1 . 9 . ) 66 . 15 ( F ) 18 . 33 ( F where F( ) is the cumulative distribution function of the 2 24 random variable
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2 3. X i = January gas bill n ,.... , 1 i , X i are i.i.d. ) , ( N 2 2 = 35 2 n = 25 2 1 n 2 2 ~ s ) 1 n ( because the population is normal 95 . 025 . 975 . ) 25 . 12 ( F ) 67 . 39 ( F ) 67 . 39 25 . 12 ( P 35 45 ) 24 ( s ) 1 n ( 35 25 ) 24 ( P ) 45 s 25 ( P 2 24 2 2 2 2 2 2 where F( ) is the cumulative distribution function of the 2 24 random variable
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This note was uploaded on 02/26/2012 for the course ECONOMICS 329 taught by Professor Bencivenga during the Spring '12 term at University of Texas.

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07 STAT HWB a - Dr. V.R. Bencivenga Economics 329 PRACTICE...

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