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2. In order to evaluate the runtime performance of an algorithm, we measured it's run time performance on 15 samples and the results are: (17.5,

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2. In order to evaluate the runtime performance of an algorithm, we measured it's run time performance on 15 samples and the results are: (17.5, 16.3, 18.4, 17.9, 16, 16.5, 18.5, 19.9, 18, 18.3, 18.1, 15.3, 17.6, 17.7, 17.1]. The state-of-the-art algorithm that has an average runtime performance of 16.5 and a standard deviation of 5.5 . Is there any difference between the first algorithms and the state-of-the-art algorithm? Evaluate the significance of the hypothesis, explain and list your calculations, test choices, and conclusion drawn. (25 points)

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