A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 57 sample problems. The new algorithm completes the sample problems with a mean time of 16.83 hours. The current algorithm completes the sample problems with a mean time of 17.59 hours. Assume the population standard deviation for the new algorithm is 4.988 hours, while the current algorithm has a population standard deviation of 4.618 hours. 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 u, be the true mean completion time for the new algorithm and uz be the true mean completion time for the current algorithm. Step 1 of 5: State the null and alternative hypotheses for the test. There is sufficient evidence to support the claim that the mean completion time for the new algorithm is faster than that of the current algorithm. There is not sufficient evidence to support the claim that the mean completion time for the new algorithm is faster than that of the current algorithm.