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