STAT 400 Lecture AL1 Answers for 8.1 (Part 2) Spring 2015 Dalpiaz 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 vs. H 1 : 2 > 0.0003 s = 0.02. n = 41. Test Statistic: 00030020141122 022 s..n = 53.3333. Rejection Region: Right – tailed. Reject H 0 if 22 n – 1 = 40 degrees of freedom. = 0.05 2050. = 55.76. 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) = 0.10 2100. = 51.80. 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: 222 022 5.04.01251σsχ n = 15.36. Rejection Region: Left – tailed. Reject H 0 if 212 n – 1 = 24 degrees of freedom. = 0.05 2950. = 13.85. 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 vs. H 1 : 2 > 12 s 2 = 16. n = 25. Test Statistic: 121612512 022s n = 32. Rejection Region: Right – tailed. Reject H 0 if 22 n – 1 = 24 degrees of freedom. = 0.05 2050. = 36.42. 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 =
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