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 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

Answer 1

Since p value <0.1 accept the claim that oven I repair costs are more

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%

`H_0: \mu_1 - \mu_2 =0\\H_a: \mu_1 - \mu_2> 0`

(Right tailed test)

The mean of Group One minus Group Two equals 7.1200

df = 114

standard error of difference = 3.065

t = 2.3234

p value = 0.0219

If p value <0.10 reject null hypothesis

4) Since p value <0.1 accept the claim that oven I repair costs are more