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A Fleet of Rental Cars - All the Same Make μ\mu

question 41

Multiple Choice

A fleet of rental cars - all the same make, model, and year - has a mean fuel efficiency of 24.7 miles per gallon (mpg) . A random sample of 54 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>24.7mpg\mu > 24.7 \mathrm { mpg } . A test is made of H0:μ=24.7H _ { 0 } : \mu = 24.7 versus H1:μ>24.7H _ { 1 } : \mu > 24.7
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 successful.
Which of the three conclusions is best if H0H _ { 0 } is rejected?


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