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

49 sample problems. The new algorithm completes the sample problems with a mean time of

18.71 hoursThe current algorithm completes the sample problems with a mean time of

20.83 hours. The standard deviation is found to be 5.184 hours for the new algorithm and

5.810 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

mu 1 be the true mean completion time for the new algorithm and

mu 2 be the true mean completion time for the current algorithm .

Step 1 of 4: State the null and alternative hypotheses for the test.

step 2 of 4: compute the value of the test statistic. round answer two decimal places

step 3 of 4: determine tbe decision rule for regecting the null hypothesis Ho. Round the numerical portion of your answer two decimal places

step 4 or 4: make the decision for the hypothesis test

Answer 1