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 60 type I ovens has a mean repair cost of $85.79, with a standard deviation of $15.13. A sample of 56 type II ovens has a mean repair cost of $78.67, with a standard deviation of $17.84. Conduct a hypothesis test of the technician's claim at the 0.1 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 1 of 4: State the null and alternative hypotheses for the test.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. Reject or Fail to Reject Null Hypothesis
Accepted Solution
A:
Answer: Since p value <0.1 accept the claim that oven I repair costs are moreStep-by-step explanation:The data given for two types of ovens are summarised below:Group Group One Group Two
Mean 85.7900 78.6700
SD 15.1300 17.8400
SEM 1.9533 2.3840
N 60 56
Alpha = 10%[tex]H_0: \mu_1 - \mu_2 =0\\H_a: \mu_1 - \mu_2> 0[/tex](Right tailed test) The mean of Group One minus Group Two equals 7.1200df = 114
standard error of difference = 3.065 t = 2.3234
p value = 0.0219If p value <0.10 reject null hypothesis4) Since p value <0.1 accept the claim that oven I repair costs are more