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A Bank Is Trying to Determine Which Model of Safe

Question 83

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>>0 B) H<sub>0</sub>: µ<sub>D</sub> ≥ 0,H<sub>A</sub>: µ<sub>D </sub><0 C) H<sub>0</sub>: µ<sub>D</sub> ≠ 0,H<sub>A</sub>: µ<sub>D </sub>=0 D) H<sub>0</sub>: µ<sub>D</sub> = 0,H<sub>A</sub>: µ<sub>D </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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