HW Solutions Stat 41

# HW Solutions Stat 41 - 1.015 exp(1 1.265 b H0 1 = 0 Ha 1 =...

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1 . 015 exp( β 1 ) 1 . 265 b. H 0 : β 1 =0 , H a : β 1 6 =0 . b 1 = . 12508, s { b 1 } = . 06676, z = . 12508 /. 06676 = 1 . 8736. z ( . 95)=1 . 645, | z |≤ 1 . 645, conclude H 0 , otherwise conclude H a . Con- clude H a . P -value= . 0609. c. H 0 : β 1 =0 , H a : β 1 6 =0 . G 2 =3 . 99, χ 2 ( . 90; 1) = 2 . 7055. If G 2 2 . 7055, conclude H 0 , otherwise conclude H a . Conclude H a . P -value= . 046 14.17. a. z ( . 975) = 1 . 960 ,s { b 1 } = . 004772 ,. 13585 ± 1 . 960( . 004772), . 1265 β 1 . 1452 , 1 . 1348 exp( β 1 ) 1 . 1563. b. H 0 : β 1 =0 , H a : β 1 6 =0 . b 1 = . 13585, s { b 1 } = . 004772, z = . 13585 /. 004772 = 28 . 468. z ( . 975) = 1 . 960, | z |≤ 1 . 960, conclude H 0 , otherwise conclude H a . Conclude H a . P -value= 0+. c. H 0 : β 1 =0 , H a : β 1 6 =0 . G 2 = 1095 . 99, χ 2 ( . 95; 1) = 3 . 8415. If G 2 3 . 8415, conclude H 0 , otherwise conclude H
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