415Mid1Solution08

415Mid1Solution08 - q = for all q U ∴ is a sufficient...

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This confidence interval means that, with 90% chance, the true difference in proportion between the two groups is covered by this interval. Since 0 is not covered by this interval, with 90% confidence we can say that eating saturated fats do change risk of heart diseases. (c) Sufficient statistic for q - - = = i i n n x f x x f q q q q 1 1 ) ; ,..., ( Let = i i x U , q q q q f - - = 1 ) ; ( u u n , and 1 ) ,..., ( 1 = n x x h Then ) ,..., ( ) ; ( ) ; ,..., ( 1 1 n n x x h u x x f q f
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Unformatted text preview: q = for all q U ∴ is a sufficient statistic for q . (d) MVUE for q q q q q q q =--=-=-=-= ∫ ∑ ∑-) ( 1 ln 1 ) (ln 1 ) ln 1 ( ) ˆ ( 1 1 dx x x n n x E n x n E E i i q ˆ ∴ is unbiased for q . In addition, U n x n x n i i ln 1 ln 1 ln 1 ˆ-=-=-= ∏ ∑ q is a function of the sufficient statistic in (c), q ˆ ∴ is MVUE....
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This note was uploaded on 05/17/2008 for the course MATH 415 taught by Professor Yuzhang during the Spring '08 term at Penn State.

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415Mid1Solution08 - q = for all q U ∴ is a sufficient...

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