09 STAT HWB a

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

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Dr. V.R. Bencivenga Economics 329 PRACTICE ASSIGNMENT #9B: RIGHT ANSWERS 1. 2 i , N iid are n ,..., 1 i , X 100 2 H 0 : = 0 vs. H A : = 2 n , N ~ X 2 because the population is normal Reject H 0 if cv X . Find cv and n such that: n 10 645 . 1 cv 645 . 1 n 10 0 cv 05 . 645 . 1 Z P 05 . n 10 0 cv n X P 05 . 0 | cv X P n 10 645 . 1 2 cv 645 . 1 n 10 2 cv 05 . 645 . 1 Z P 05 . n 10 2 cv n X P 05 . 2 | cv X P 271 n 45 . 16 n 2 n 10 645 . 1 2 n 10 645 . 1 2 n 10 645 . 1 2.a. 2 i , N iid are n ,..., 1 i , X 2 2 3 . n = 9 H 0 : 2.5 vs. H A : > 2.5 = .10 n , N ~ X 2 because the population is normal Reject H 0 if cv X . Find cv such that: 6282 . 2 cv 9 3 . 282 . 1 5 . 2 cv 282 . 1 9 3 . 5 . 2 cv 05 . 282 . 1 Z P 10 . 9 3 . 5 . 2 cv n X P 10 . 5 . 2 | cv X P b. Now = .05. Find cv such that: 6645 . 2 cv 9 3 . 645 . 1 5 . 2 cv 645 . 1 9 3 . 5 . 2 cv 05 . 645 . 1 Z P 05 . 9 3 . 5 . 2 cv n X P 05 . 5 . 2 | cv X P c. 004 . 996 . 1 645 . 2 Z P 9 3 . 4 . 2 6645 . 2 n X P 4 . 2 | 6645 . 2 X P

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2 d. 2578 . 7422 . 1 645 . Z P 9 3 . 6 . 2 6645 . 2 n X P 6 . 2 | 6645 . 2 X P power e. p.d.f. of X if = 2.5 (H 0 is true) p.d.f. of X if = 2.6 (H A is true) , X 2.5 2.6 2.6645 H 0 is true ]( H A is true Accept H 0 ]( Reject H 0 X f.
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