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A technician compares repair costs for two types of microwave ovens (type I and type II)....

A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 5151 type I ovens has a mean repair cost of $87.59$⁢87.59, with a standard deviation of $20.27$⁢20.27. A sample of 3434 type II ovens has a mean repair cost of $84.62$⁢84.62, with a standard deviation of $20.46$⁢20.46. Conduct a hypothesis test of the technician's claim at the 0.010.01 level of significance. Let μ1μ1 be the true mean repair cost for type I ovens and μ2μ2 be the true mean repair cost for type II ovens.

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Make the decision for the hypothesis test.

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