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1) Prove the conditions2) State the H" H" and claim.3) State the level of significance4) Find the test statistic and either the p-value or rejection region. Show a graph5} Draw a conclusion

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1. A maker of ovens advertises that no more than.10% of its microwaves need~ir during thefirst five years of use. In a.random sample of 57 microwaves five years old~eeded repairs..At 0<= 0.04, can you reject the maker's claim that no more than 10%of its microwaves needrepair during the first five years of use? , () ~ 51 P ;:.. 13 I _

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2. A citrus grower's association believes that the mean consu I rus rUlts y r (~ •people in the U.S.is at least 94 pounds per year. A random sam Ie of 10 people in the U.S.hasa mean consumption of fresh citrus fruits of 93.5 pounds per year and a standard deviation of30 pounds. At 0<= 0.02, can you reject the association's claim that the mean consumption offresh citrus fruits by people in the U.S.i~at least 94 pounds per year? I I. . ,J

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3. An auto maker:g' es that the mean gas milj!age of its luxury sedan is at least 25 miles pergallon. random sample fJ:igtlt such cars had a mean of 23 miles per gallon and a standarddeviation of 5 miles per gallon. At 0(= 0.05, can you reject the auto maker's claim that themean gas mileage of its luxury sedan is at least 25 miles per gallon? Assumethe population isnormally distributed. . ./ _ . iY. Lt. ~ VYLb- L{ "'3 CJ..fr' pie

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/'tI_/> A .1_' • of ,52.701 with a stan~ard deviation of $6500, can you reject the service's c1~im? (f/\(SltL

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5, A tire manufacturer guarantees that the mean life of a certain type of tire is at least

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'; 3Q~Ia..:~Q,OQQmiles, Identify type I and type II errors for the hypothesis test of this claim and.J{ - state what the consequences of each would be,

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