In: Statistics and Probability
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 $71.37, with a standard deviation of $18.58. A sample of 31 type II ovens has a mean repair cost of $66.93, with a standard deviation of $24.60. 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.