A certain computing task takes on average hours to run on a high performance computing cluster. Thirty independent experiments took the following amounts of time in hours: 2.70 2.89 2.57 2.43 2.23 1.67 2.51 2.91 1.99 2.20 2.27 3.02 2.10 2.63 2.38 2.64 1.99 2.47 2.33 3.02 2.08 2.81 2.28 2.59 2.24 2.76 2.22 2.34 2.46 3.14 You want to test the hypothesis , at a 5% significance level. It is known that the standard deviation of runtimes is 0.3 hours. (a) Find the critical region for this test and decide whether or not you reject . (Hint: you may use the following -score corresponding to the probability 0.025 and 1-0.025