A car enthusiast wants to determine if his car indeed travel 640 km on a full tank of a particular unleaded gasoline. He filled up his car's fuel tank of a particular unleaded gasoline 5 times and each time recorded the distance traveled until the fuel indicator signaled empty. The distance traveled were 521 km, 564 km, 593 km, 596 km, and 615 km. A test of hypotheses will be conducted to determine if there is a sufficient evidence to say that his car travel an average of 640 km with that particular unleaded gasoline. Assume that the distribution of distances traveled is normal. At 5% level of significance, which is a valid conclusion? State value of test statistic and decision.
A car enthusiast wants to determine if his car indeed travel 640 km on a full tank of a particular unleaded gasoline. He filled up his car's fuel tank of a particular unleaded gasoline 5 times and each time recorded the distance traveled until the fuel indicator signaled empty. The distance traveled were 521 km, 564 km, 593 km, 596 km, and 615 km. A test of hypotheses will be conducted to determine if there is a sufficient evidence to say that his car travel an average of 640 km with that particular unleaded gasoline. Assume that the distribution of distances traveled is normal.
At 5% level of significance, which is a valid conclusion?
State value of test statistic and decision.
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