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. Which of the following hypotheses will determine if the two safes take,on average,the same amount of time to crack?

• A) H₀: µ_D ≤ 0,H_A: µ_D >0
• B) H₀: µ_D ≥ 0,H_A: µ_D <0
• C) H₀: µ_D ≠ 0,H_A: µ_D =0
• D) H₀: µ_D = 0,H_A: µ_D ≠0

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