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 10 processing times from computer 1 showed a mean of 51 seconds with a standard deviation of 20 seconds, while a random sample of 9 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 60 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. Can we conclude, at the 0.01 level of significance, that the mean processing time of computer 1, μ1, is less than the mean processing time of computer 2, μ2? Perform a one-tailed test.