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13 Dno'm 14 Dno'm 15 Dno'm Given a = 0.05, the critical value for the testis, 1.393 1.477 1.565 1.659 The approximate p-value for the test is, 0.039 0.045 0.052 0.060 Based on the p-value in the previous question, reject H0 at oz: 0.05; reject H0 at oi: 0.01 Reject H0 at or = 0.01; do not reject H0 at or = 0.05 Reject H0 at or = 0.10; do not reject H0 at or = 0.05 Reject Hn at or = 0.05: do not reject HD at or = 0.01 Question 9-15 are based on the random sample below which is obtained to test the following hypothesis about the population mean. 75 84 75 87 78 78 76 87 76 71 89 79 86 78 80 75 70 86 74 86 85 76 77 89 78 79 79 76 78 77 60 80 89 86 73 73 69 78 96 85 77 73 81 83 87 83 74 73 88 97 79 70 81 82 84 78 69 81 82 82 74 78 86 62 84 68 75 86 88 77 72 75 80 75 74 82 BO 81 70 89 81 75 78 66 74 84 73 78 93 76 82 87 78 76 72 85 89 74 76 73 77 96 76 70 81 73 77 77 Test the hypothesis that the mean is at least 80. This hypothesis test is, an upper tail test because the null hypothesis is Ho: H 2 80. a lower tail test because the null hypothesis is Ho: H 2 80. an upper tail test because the alternative hypothesis is H1: H > 80. a lower tail test because the null hypothesis is Ho: H S 80. 10 The estimated mean is, 78.98 77.40 77.02 2 76.64 11 The estimated variance of the mean is, 45.551 48.284 0.398 0.422 12 The value of the test statistic is (if negative use the absolute value): 1.568 1.662 1.762 1.868