A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 36 sample problems. The new algorithm completes the sample problems with a mean time of 22.83 hours. The current algorithm completes the sample problems with a mean time of 23.06 hours. The standard deviation is found to be 3.511 hours for the new algorithm, and 3.471 hours for the current algorithm. Conduct a hypothesis test at the 0.1 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let 1 be the true mean completion time for the new algorithm and 2 be the true mean completion time for the current algorithm.

Step1of4:State the null and alternative hypotheses for the test.