015824 A systems analyst tests a new algorithm designed to workfaster than the currently-used algorithm. Each algorithm is appliedto a group of 89 sample problems. The new algorithm completes thesample problems with a mean time of 17.64 hours. The currentalgorithm completes the sample problems with a mean time of 17.75hours. Assume the population standard deviation for the newalgorithm is 4.561 hours, while the current algorithm has apopulation standard deviation of 4.210 hours. Conduct a hypothesistest at the 0.05 level of significance of the claim that the newalgorithm has a lower mean completion time than the currentalgorithm. Let μ1 be the true mean completion time for the newalgorithm and μ2 be the true mean completion time for the currentalgorithm. Step 1 of 5: State the null and alternative hypothesesfor the test.
