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A Fleet of Rental Cars - All the Same Make 25.925.9

Question 58

Multiple Choice

A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 25.925.9 miles per gallon (mpg) . A random sample of 51 cars are selected and the air filter of each is replaced with a new one. Let μ\mu be the population mean fuel efficiency score that would occur if every car's air filter were replaced. The air filter change is deemed effective if μ>25.9\mu > 25.9 mpg. A test is made of H0:μ=25.9H _ { 0 } : \mu = 25.9 versus H1:μ>25.9H _ { 1 } : \mu > 25.9 . Consider these possible conclusions:
i) . The air filter changes are effective.
ii) . The air filter changes are not effective.
iii) . The air filter changes might not be effective.
Which of the three conclusions is best if H0H _ { 0 } is not rejected?


A) iii
B) i\mathrm { i }
C) ii\mathrm { ii }

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