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Topic 6 Homework (Nonadaptive) Question 8 of 11 (1 point)|Question Attempt: 1 of Unlimited

Dennis

1 2 3 4 5 6 7 8 9 10 11 Question 8 The university data center has two main servers. The manager of the center wants to examine whether server 1 is receiving tasks which require different processing times from those of server 2. He selects a random sample of 12 tasks from server 1 and a random sample of 13 tasks from server 2. The two samples were chosen separately, so that the selection of the tasks from server 1 did not affect the selection of the tasks from server 2. The following table gives the data, sample means, and sample standard deviations. Processing times in seconds Sample mean Sample standard deviation Server 1 45.60, 45.79, 34.61, 56.14, 37.56, 41.94, 38.80, 30.87, 42.01, 31.26, 43.50, 36.78 40.405 7.071 Server 2 37.24, 33.68, 38.91, 40.55, 42.97, 38.38, 32.16, 38.16, 32.80, 36.24, 58.57, 31.12, 30.06 37.757 7.351

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Send data to Excel (a)Are the two samples of tasks independent or paired (dependent) samples? Choose the best answer. independent samples paired (dependent) samples

(b)The manager of the center wants to use the data to determine whether the mean processing times of server 1 and server 2 differ. Assume that both populations are approximately normally distributed and that the population variances are equal. Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.)

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It is unclear which test statistic to use.

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