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015824 A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm....

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Basic Math

015824 A systems analyst tests a new algorithm designed to workfaster than the currently-used algorithm. Each algorithm is appliedto a group of 89 sample problems. The new algorithm completes thesample problems with a mean time of 17.64 hours. The currentalgorithm completes the sample problems with a mean time of 17.75hours. Assume the population standard deviation for the newalgorithm is 4.561 hours, while the current algorithm has apopulation standard deviation of 4.210 hours. Conduct a hypothesistest at the 0.05 level of significance of the claim that the newalgorithm has a lower mean completion time than the currentalgorithm. Let μ1 be the true mean completion time for the newalgorithm and μ2 be the true mean completion time for the currentalgorithm. Step 1 of 5: State the null and alternative hypothesesfor the test.

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thetrue mean completion time for the new algorithmthe true mean completion time for the currentalgorithmThe null hypothesis states that apopulation parameter such as the mean the standard deviation andso on is equal to a hypothesized value The null hypothesis isoften an initial claim that is based on previous analyses orspecialized    See Answer
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