STAT 400 Lecture AL1 Spring 2015 Dalpiaz Answers for 8 1 Part 2 The 2 Distribution r 20 995 20 99 20 975 20 95 20 90 20 10 20 05 20 025 20 01 20 005 24 9 886 10 86 12 40 13 85 15 66 33 20 36 42 39 36 42 98 45 56 40 20 71 22 16 24 43 26 51 29 05 51 80 55 76 59 34 63 69 66 77 1 s 0 02 n 41 a Claim 2 0 0003 H 0 2 0 0003 H 1 2 0 0003 vs s 0 02 n 41 Test Statistic 2 Rejection Region 2 Reject H 0 if 2 n 1 s2 41 1 0 02 2 02 0 0003 53 3333 Right tailed n 1 40 degrees of freedom 2 0 05 55 76 0 05 Reject H 0 if 2 55 76 The value of the test statistic does not fall into the Rejection Region Do NOT Reject H 0 at 0 05 b 2 0 10 51 80 0 10 Reject H 0 if 2 51 80 The value of the test statistic does fall into the Rejection Region Reject H 0 at 0 10 2 Claim 0 5 H 0 0 5 vs H 1 0 5 s 0 4 n 25 Test Statistic 2 n 1 s 2 02 25 1 0 4 2 0 5 2 15 36 Left tailed Rejection Region Reject H 0 if 2 21 n 1 24 degrees of freedom 2 0 95 13 85 0 05 Reject H 0 if 2 13 85 The value of the test statistic does not fall into the Rejection Region Do NOT Reject H 0 at 0 05 3 Claim 2 12 H 0 2 12 H 1 2 12 vs s 2 16 n 25 Test Statistic 2 Rejection Region 2 Reject H 0 if 2 n 1 s2 25 1 16 32 2 0 12 Right tailed n 1 24 degrees of freedom 2 0 05 36 42 0 05 Reject H 0 if 2 36 42 The value of the test statistic does not fall into the Rejection Region Do NOT Reject H 0 at 0 05
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