During the last energy crisis,a government official claimed that the average car owner refills the tank when there is more than 3 gallons left.To check the claim,10 cars were surveyed as they entered a gas station.The amount of gas remaining before refill was measured and recorded as follows (in gallons): 3,5,3,2,3,3,2,6,4,and 1.Assume that the amount of gas remaining in tanks is normally distributed with a standard deviation of 1 gallon.Compute the probability of a Type II error and the power of the test if the true average amount of gas remaining in tanks is 3.5 gallons anda= 0.10.
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