HW1sol - STAT 415 SOLUTIONS FOR HWK #1 (by Shengzhong Su)...

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STAT 415 SOLUTIONS FOR HWK #1 (by Shengzhong Su) 5.2-3. (a) , (b) , (c) 0.01 2.326 z = 0.005 2.576 z −= 0.0475 1.67 z = , (d) 0.985 1 0.985 0.015 2.17 zz z = = 5.2-4. (a) , (b) , (c) 0.10 1.282 z = 0.05 1.645 z 0.0485 1.66 z =− , (d) 0.9656 1 0.9656 0.0344 1.82 z = = 5.2-5. (a) 0.025 1.960 cz == (b) () 1 1 [ ( ) ( ) ] 1 2 ( ) 0 . PZ c PZ c PZ c ≤= >= >+ < 9 5 , so , thus ( ) 0.025 0.025 1.960 (c) 0.05 1.645 (d) 1 1 2 ( ) 0 . 9 0 0 . 0 5 , , so 0.05 1.645 = = Problem A. (a) 66 ( ) 0.025 55 Xb PX b P −− ⎛⎞ ≥= = ⎜⎟ ⎝⎠ , 0.025 6 1.960 5 b z , so 15.8 b = (b) (6 6 ) ( 6 ) ( 6 ) 0.975 Pc X c P c X c P X c −≤ ≤+ = −≤ −≤ = − ≤ = , so (6 ) 1 ) 0 . 0 2 PX c c −> =− −≤ = 5 , thus ( 6 ) ( 6 ) / 2 0.0125 c P X c −> = − > = , . ( 6 ) ( 6 ) 0.0125 c c >+ = 6 ( 6 ) 0.0125 Xc c P −+ > = , 0.0125 2.24 5 c z , . 11.20 c = 5.2-7. , so 6 X μ = and 5 X σ = . (6,25) XN : 06 6 86 (0 8) ( 1.2 0.4) (0.4) ( 1.2) 555 (0.4) [1 (1.2)] 0.6554 0.8849 1 0.5403 X P P Z ≤≤= = Φ Φ − −Φ = + − = 6.1-2. (a) 0+1+1+1+0+1+2+1+4+1+2+3+0+3+0+1+0+1+1+2+3+0+2+2
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This note was uploaded on 02/24/2009 for the course STAT 415 taught by Professor Senturk,damla during the Spring '06 term at Pennsylvania State University, University Park.

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HW1sol - STAT 415 SOLUTIONS FOR HWK #1 (by Shengzhong Su)...

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