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 61 type I ovens has a mean repair cost of $78.01, with a standard deviation of $12.80. A sample of 46 type II ovens has a mean repair cost of $72.23 , with a standard deviation of $17.11. 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. Required:
a. State the null and alternative hypotheses for the test.
b. Compute the value of the test statistic. Round your answer to two decimal places.
c. Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.
d. Make the decision for the hypothesis test. Reject or Fail to Reject Null Hypothesis