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T-Test of University Data Center

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The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of processing times from computer 1 showed a mean of seconds with a standard deviation of seconds, while a random sample of processing times from computer 2 (chosen independently of those for computer 1) showed a mean of seconds with a standard deviation of seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the level of significance, that the mean processing time of computer 1, , is greater than the mean processing time of computer 2, ?

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THe solution discusses T-Tests of a University data center.

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