The manufacturer of a sports car claims that the fuel injection system lasts 48 months before...

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The manufacturer of a sports car claims that the fuel injectionsystem lasts 48 months before it needs to be replaced. A consumergroup tests this claim by surveying a random sample of 10 ownerswho had the fuel injection system replaced. The ages of the cars atthe time of replacement were (in months):

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(i) Use your calculator to calculate the mean age of a car whenthe fuel injection system fails x and standard deviations. (Round your answers to two decimal places.)

x =months
s =months


(ii) Test the claim that the fuel injection system lasts less thanan average of 48 months before needing replacement. Use a 5% levelof significance.

What are we testing in this problem?

single proportionsingle mean    


(a) What is the level of significance?

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