mont4e_sm_ch08_mind - Mind Expanding Exercises 8-95 a.) =...

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Unformatted text preview: Mind Expanding Exercises 8-95 a.) = < < 1 ) 2 ( 2 2 , 2 2 2 , 2 1 r r r T P < < = r r T T P r r 2 2 2 2 , 2 2 2 , 2 1 Then a confidence interval for 1 = is 2 2 , 2 1 2 2 , 2 2 , 2 r r r r T T b) n = 20 , r = 10 , and the observed value of T r is 199 + 10(29) = 489. A 95% confidence interval for 1 is ) 98 . 101 , 62 . 28 ( 59 . 9 ) 489 ( 2 , 17 . 34 ) 489 ( 2 = 8-96 dx e z dx e z x x 2 2 1 2 2 1 2 1 1 2 1 1 = = Therefore, ) ( 1 1 1 z = . To minimize L we need to minimize subject to ) 1 ( ) 1 ( 2 1 1 + = + 2 1 . Therefore, we need to minimize . ) 1 ( ) 1 ( 1 1 1 + + 2 2 1 2 2 1 2 ) 1 ( 2 ) 1 ( 1 1 1 1 1 1 = + = z z e e Upon setting the sum of the two derivatives equal to zero, we obtain...
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mont4e_sm_ch08_mind - Mind Expanding Exercises 8-95 a.) =...

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