A systems analyst tests a new algorithm designed to work fasterthan the currently-used algorithm. Each algorithm is applied to agroup of 60 sample problems. The new algorithm completes the sampleproblems with a mean time of 22.16 hours. The current algorithmcompletes the sample problems with a mean time of 24.18 hours.Assume the population standard deviation for the new algorithm is5.572 hours, while the current algorithm has a population standarddeviation of 4.365 hours. Conduct a hypothesis test at the 0.05level of significance of the claim that the new algorithm has alower mean completion time than the current algorithm. Let ?1 bethe true mean completion time for the new algorithm and ?2 be thetrue mean completion time for the current algorithm.
Step 1 of 5: State the null and alternative hypotheses for thetest.
Step 2 of 5: Compute the value of the test statistic. Round youranswer to two decimal places.
Step 3 of 5: Find the p-value associated with the teststatistic. Round your answer to four decimal places.
Step 4 of 5: Make the decision for the hypothesis test.
Step 5 of 5: State the conclusion of the hypothesis test.
