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Unformatted text preview: STAT 409 Examples for 10/19/2009 Fall 2009 H true H is NOT true Do Not Reject H Type II Error Reject H Type I Error = significance level = P ( Type I Error ) = P ( Reject H | H is true ) = P ( Type II Error ) = P ( Do Not Reject H | H is NOT true ) Power = 1 P ( Type II Error ) = P ( Reject H | H is NOT true ) 1. A car manufacturer claims that, when driven at a speed of 50 miles per hour on a highway, the mileage of a certain model follows a normal distribution with mean = 30 miles per gallon and standard deviation = 4 miles per gallon. A consumer advocate thinks that the manufacturer is overestimating average mileage. The advocate decides to test the null hypothesis H : = 30 against the alternative hypothesis H 1 : < 30. a) Suppose the consumer advocate tests a sample of n = 25 cars. What is the significance level associated with the rejection region Reject H if x < 28.6 ?...
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- Spring '11