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...

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 of14 processing times from computer 1 showed a mean of 1seconds with a standard deviation of 52seconds, while a random sample of 8 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 56seconds with a standard deviation of 15seconds. 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 .1 level of significance, that the mean processing time of computer 1, M1, differs from the mean processing time of computer 2, m2?