A technician comparesrepair costs for two types of microwave ovens (type I and type II).He believes that the repair cost for type I ovens is greater thanthe repair cost for type II ovens. A sample of 5959 type I ovenshas a mean repair cost of $73.27$?73.27, with a standard deviationof $10.76$?10.76. A sample of 4747 type II ovens has a mean repaircost of $69.22$?69.22, with a standard deviation of $23.21$?23.21.Conduct a hypothesis test of the technician's claim at the 0.050.05level of significance. Let ?1?1 be the true mean repair cost fortype I ovens and ?2?2 be the true mean repair cost for type IIovens.
Step 2 of 4 :
Compute the value ofthe test statistic. Round your answer to two decimal places.
Step 3 of 4: Determinethe decision rule for rejecting the null hypothesis H0. Round thenumerical portion of your answer to two decimal places
Step 4 of 4: Make thedecision for the hypothesis test. Fail or reject to fail.
