Asystems analyst tests a new algorithm designed to work faster than the currently-used algorithm. each algorithm is applied to a group of 48 sample problems. the new algorithm completes the sample problems with a mean time of 19.50 hours. the current algorithm completes the sample problems with a mean time of 21.16 hours. the standard deviation is found to be 3.608 hours for the new algorithm, and 4.538 hours for the current algorithm.

conduct a hypothesis test at the 0.01 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. let î¼1 be the true mean completion time for the new algorithm and î¼2 be the true mean completion time for the current algorithm.

determine the decision rule for rejecting the null hypothesis h0. round the numerical portion of your answer to two decimal places.