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 34 type I ovens has a mean repair cost of $74.06. The population standard deviation for the repair of type I ovens is known to be $11.92. A sample of 31 type II ovens has a mean repair cost of $67.45. The population standard deviation for the repair of type II ovens is known to be $18.56. Conduct a hypothesis test of the technician's claim at the 0.05 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.
That is , there is sufficient evidence to conclude that the repair cost for type I ovens is greater than the repair cost for type II ovens.
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