Question

A systems analyst tests a new algorithm designed to work faster than the currently used algorithm. Each algorithm is applied to a group of 60 sample problems. The new algorithm completes the sample problems with a mean time of 22.16 hours. The current algorithm completes the sample problems with a mean time of 24.18 hours. Assume the population standard deviation for the new algorithm is 5.572 hours, while the current algorithm has a population standard deviation of 4.365 hours. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let , be the true mean completion time for the new algorithm and be the true mean completion time for the current algorithm. Step 5 of 5: State the conclusion of the hypothesis test. Answer 2 Points Tables Keypad 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 2019 Hawkes Learning web and Windows

Answer 1

each algorithm applied in 60 Sample Problem new algorithm (1) current algorithy Log 2=22016 2 =94.18 T 5.572 5 = 4.365 - Laos Claims Mi cu ці Alternate И. : Расу. Hi Mich Test Statistic z = 22.16 - 2418 - (22-221) P-value = f (2 2 20 = P(Zc-2.21) 5000136 (P-value = 0.0136 less than alpha Caos) So we repect null hypothesia There is sufficent that support the completion time - is faster than evidence to conclude Claim that the mean for the new algorithm that of current algorithy