The uni y data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to muse of computer 2. A random sample of 15 processing times from computer 1 showed a mean of 56 seconds with a standard deviation of 20 seconds, while a random sample of 12 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 54 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 0.05 level of significance, that the mean processing time of computer 1, My, is greater than the mean processing time of computer 2, H2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H1. H O P Ho : X S p H :I (b) Determine the type of test statistic to use. (Choose one) 0=0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 00 X ? (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we conclude that the mean processing time of computer 1 is greater than the mean processing time of computer 27 Yes No