A Researcher Wanted to Determine If Using an Octane Booster $X _ { 1 }$

question 62

Multiple Choice

A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster. Use the definitions of $X _ { 1 }$ and $X _ { 2 }$ as given in the table. Consequently, $D = X _ { 1 } - X _ { 2 }$ .



State the alternative hypothesis.

• A) \(H _ { 1 } : \mu _ { D } = 0\)
• B) \(H _ { 1 } : \mu _ { D } < 0\)
• C) \(H _ { 1 } : \mu _ { D } \neq 0\)
• D) \(H _ { 1 } : \mu _ { D } > 0\)