Question
A bank is trying to determine which model of safe to install. The bank manager believes that each model is equally resistant to safe crackers
A bank is trying to determine which model of safe to install. The bank manager believes that each model is equally resistant to safe crackers but sets up a test to be sure. He hires nine safe experts to break into each of the models, timing each endeavor. The results (in seconds) are given next, paired by expert. Let D be the difference: Time to break Safe 1 minus Time to break Safe 2.
Safe 1 | Safe 2 |
103 | 101 |
90 | 94 |
64 | 58 |
110 | 111 |
104 | 103 |
92 | 90 |
145 | 140 |
106 | 110 |
76 | 74 |
Assuming the difference D is normally distributed, which of the following is the 95% confidence interval for D?
Multiple Choice
a) [-1.8677, 3.6455]
b) [-1.6903, 3.6903]
c) [-1.7537, 5.7537]
d) [-0.6739, 4.6738]
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