In: Statistics and Probability
A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 51 51 sample problems. The new algorithm completes the sample problems with a mean time of 24.43 24.43 hours. The current algorithm completes the sample problems with a mean time of 24.68 24.68 hours. The standard deviation is found to be 3.481 3.481 hours for the new algorithm, and 3.420 3.420 hours for the current algorithm. Conduct a hypothesis test at the 0.05 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let μ1 μ 1 be the true mean completion time for the new algorithm and μ2 μ 2 be the true mean completion time for the current algorithm. Step 2 of 4: Compute the value the test statistic. Round to two decimal places.