# HW_7 - Solutions for HW #7 11. a. : 10, : 10 a H H = b....

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Unformatted text preview: Solutions for HW #7 11. a. : 10, : 10 a H H = b. 10.1032 10 9.8968 10 ( 10.1032 or 9.8968 | 10) ( or ) 0.2 / 25 0.2 / 25 ( 2.58) ( 2.58) 2(0.0049) 0.0098 P X X P Z Z P Z P Z -- = = = + - = = c. 9.8968 10.1 10.1032 10.1 (9.8968 10.1032 | 10.1) ( ) .2 / 5 .2 / 5 ( 5.08 0.08) 0.5319 0.0 0.5319 P X P Z P Z -- &lt; &lt; = = &lt; &lt; =- &lt; &lt; =- = 9.8968 9.8 10.1032 9.8 (9.8968 10.1032 | 9.8) ( ) .2 / 5 .2 / 5 (2.42 7.58) 1 0.9922 0.0078 P X P Z P Z -- &lt; &lt; = = &lt; &lt; = &lt; &lt; =- = d. c=2.58 e. 1.96(.2 / 10) 10 10.124, 1.96(.2 / 10) 10 9.876 + =- + = rejection region= { 10.124 or 9.876} x x f. 10.02 x = . Do not reject null hypothesis. g. { 2.58 or z 2.58} z - 13. a. ( 2.33 / | ) ( 2.33) 0.01 P X n P Z + = = = b. 99 100 2.33(5) / 25 99 ( 100 2.33(5) / 25 | 99) ( ) 5 / 25 5 / 25 ( 3.33) 0.0004 X P X P P Z - +- + = = = = 99 100 2.33(5) / 25 98 ( 100 2.33(5) / 25 | 98) ( ) 5 / 25 5 / 25 ( 4.33) 0.0 X P X P P Z - +- + = =...
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## This note was uploaded on 01/06/2011 for the course STAT 511 taught by Professor Bud during the Fall '08 term at Purdue University-West Lafayette.

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HW_7 - Solutions for HW #7 11. a. : 10, : 10 a H H = b....

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