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The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to

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The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2. A random sample of 13 processing times from computer 1 showed a mean of 64 seconds with a standard deviation of 18 seconds, while a random sample of 16 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 62 seconds with a standard deviation of 15 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 95% confidence interval for the difference , - Hy between the mean processing time of computer 1, H, and the mean processing time of computer 2, Hy. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: X ? Upper limit

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