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 51 type I ovens has a mean repair cost of $87.59. The population standard deviation for the repair of type I ovens is known to be $20.27. A sample of 34 type II ovens has a mean repair cost of $84.62. The population standard deviation for the repair of type II ovens is known to be $20.46. Conduct a hypothesis test of the technician's claim at the 0.01 level of significance. Let μ1 be the true mean repair cost for type I ovens and μ2 be the true mean repair cost for type II ovens.
Step 2 of 4:
Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 4:
Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to two decimal places.
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