Two network appliances process incoming requests. The processing times are distributed normally with the respective variances ₁² = 25 ms2 and ₂² = 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 10% 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).