5 step problem: 1. state the null and alternative hypothesis for the test in the image below. 2. compute the value of the test statistic. round answer two decimal places.3. Find the p- value and round it four decimal places 4. Will we reject the null hypothesis or fail to reject the null hypothesis5. Is there sufficient evidence to support the claim that the main completion time for the new algorithm is faster than the current algorithm?

00:27:14 A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 55 sample problems. The new algorithm completes the sample problems with a mean time of 18.41 hours. The current algorithm completes the sample problems with a mean time of 21.15 hours. Assume the population standard deviation for the new algorithm is 4.835 hours, while the current algorithm has a population standard deviation of 5.075 hours. Conduct a hypothesis test at the 0. 1 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 #2 be the true mean completion time for the current algorithm. Step 1 of 5: State the null and alternative hypotheses for the test. Tables Keypad Answer 1 Point Keyboard Shortcuts Ho: # #2