Two network appliances process incoming requests. The processing times are distributed normally with the respective variances o? = 25 ms and o? = 36 ms2. We suspect that both appliances have the same mean processing time. We measure 10 random independent requests for each appliance and record the following processing times: t1 = (57, 59, 46, 54, 49, 52, 49, 47, 64, 54), t2 = (52, 42, 46, 65, 51, 40, 52, 41, 54, 46). (a) Determine whether we should accept our hypothesis at the 90% significance level. (b) Give the associated p-value. (c) Give the 90% confidence interval for the difference in mean processing time for the two appliances. Explain how it confirms your answer to (a) and (b)