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 uruse of computer 2. A random sample of 13 processing times from computer 1 showed a mean of 90 seconds with a standard deviation of 17 seconds, while a random sample of 7 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 66 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, J , is greater than the mean processing time of computer 2, Hz? 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 H O P Ho : X S 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 5 12 (d) Find the p-value. (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 2? Yes No