Question

A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 72 sample problems. The new algorithm completes the sample problems with a mean time of 24.68 hours. The current algorithm completes the sample problems with a mean time of 27.14 hours. Assume the population standard deviation for the new algorithm is 4.299 hours, while the current algorithm has a population standard deviation of 4.903 hours. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let µ1 be the true mean completion time for the new algorithm and µ2 be the true mean completion time for the current algorithm.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.A. Reject null hypothesisB. Fail to reject null hypothesis

Answer 1

Therefore we reject H o at 5% level of significance

Conclusion : Hence , we conclude that the new algorithm has a lower mean completion time than the current algorithm

Attached is a more comprehensive solution. Hope it helps