Metropolitan Research, Inc., a consumer research organization, conducts surveys designed to evaluate a wide variety of products and services available to consumers. In one particular study,Metropolitan looked at consumer satisfaction with the performance of automobiles produced by a major Detroit manufacturer. A questionnaire sent to owners of one of the manufacturer’s fullsized cars reviewed several complaints about early transmission problems. Nationwide, the population mean mileage, μ, is 80,000 miles, with a population standard deviation, σ, of 18,000 miles.Use hypothesis testing to determine whether the sample data support the conclusion thatthe mean mileage of vehicles produced by this manufacturer is lower than the nationalaverage mileage at transmission failure. Be sure to clearly state your hypotheses. Usethe p-value approach to conduct the hypothesis test using α = .005. Include the teststatistic, p-values, rejection rule.
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