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# Question 9-15 are based on the random sample below which is obtained to test the following...

 Question 9-15 are based on the random sample below which is obtained to test the following hypothesis about the population mean. Test the hypothesis that the mean is less than 80. 80 100 81 93 80 57 98 90 71 56 58 78 59 55 55 77 72 78 56 94 98 59 93 86 89 62 60 66 59 71 96 97 94 69 64 77 87 77 64 90 90 95 98 99 56 69 72 81 95 89 97 83 98 58 88 90 90 57 99 80 88 58 69 75 85 91 67 70 73 86 83 62 90 88 75 56 57 57 92 67 70 67 71 64 70 68 99 83 91 98 100 67 75 92 79 70 92 97 59 70 68 59 71 99
 13 Given α = 0.05, the critical value for the test is, a 2.201 b 1.983 c 1.768 d 1.660 14 The approximate p-value for the test is, a 0.128 b 0.092 c 0.078 d 0.066 15 Based on the p-value in the previous question, a Reject H₀ at α = 0.05; do not reject H₀ at α = 0.01 b Reject H₀ at α = 0.01; do not reject H₀ at α = 0.05 c Reject H₀ at α = 0.10; do not reject H₀ at α = 0.05 d reject H₀ at α = 0.10; reject H₀ at α = 0.05