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A systems analyst tests a new algorithm designed to work faster than the currently - used algorithm. Each algorithm is applied to a group of

A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 50
sample problems. The new algorithm completes the sample problems with a mean time of 22.70
hours. The current algorithm completes the sample problems with a mean time of 22.82
hours. Assume the population standard deviation for the new algorithm is 4.397
hours, while the current algorithm has a population standard deviation of 5.125
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 \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 2 of 5 : Compute the value of the test statistic. Round your answer to two decimal places.

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