Question

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 58 type I ovens has a mean repair cost of $⁢88.52, with a standard deviation of ⁢23.72. A sample of 49 type II ovens has a mean repair cost of $86.20$⁢86.20, with a standard deviation of $⁢14.32. 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.

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 H0. Round the numerical portion of your answer to three decimal places.

Step 4 of 4: Make the decision for the hypothesis test.

Answer 1

Step 2 of 4 :

test stat z =(x1-x2-Δo)/σx1-x2     =

0.62

Step 3 of 4:

Decision rule : reject Ho if test statistic z>1.645

step: 4: fail to reject the null hypothesis