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A Bank Is Trying to Determine Which Model of Safe

Question 92

Multiple Choice

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. 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.   Which of the following hypotheses will determine if the two safes take, on average, the same amount of time to crack? A)  H<sub>0</sub>: µ<sub>D</sub> ≤ 0, H<sub>A</sub>: µ<sub>D </sub>><sub> </sub>0 B)  H<sub>0</sub>: µ<sub>D</sub> ≥ 0, H<sub>A</sub>: µ<sub>D </sub><<sub> </sub>0 C)  H<sub>0</sub>: µ<sub>D</sub> ≠ 0, H<sub>A</sub>: µ<sub>D </sub>=<sub> </sub>0 D)  H<sub>0</sub>: µ<sub>D</sub> = 0, H<sub>A</sub>: µ<sub>D </sub>≠<sub> </sub>0 Which of the following hypotheses will determine if the two safes take, on average, the same amount of time to crack?


A) H0: µD ≤ 0, HA: µD > 0
B) H0: µD ≥ 0, HA: µD < 0
C) H0: µD ≠ 0, HA: µD = 0
D) H0: µD = 0, HA: µD 0

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