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 46 sample problems. The new algorithm completes the sample problems with a mean time of 13.39 hours. The current algorithm completes the sample problems with a mean time of 14.25 hours. The standard deviation is found to be 4.600 hours for the new algorithm, and 3.063 hours for the current algorithm. 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 μ1 be the true mean completion time for the new algorithm and μ2 be the true mean completion time for the current algorithm. Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places. Answer

Answer 1

This is a left tailed test with level of significance = 0.05

Hence,

Critical z value = -1.645

Decision rule: Reject Ho if z < -1.645