In a mechanical testing lab strips are stretched to failure. Let X equal the change in length in mm before breaking. Assume that the distribution X is N(u, 02). We shall test the nul hypothesis Ho : M = 5.70 against the alternative hypothesis H1 : M > 5.70, using n = 8 observations of X. (i) Define the test statistic and critical region that has a significance level of a = 0.05. Sketch a figure illustrating this critical region. (5 marks) (ii) A random sample of eight observations of X yielded that following data: 5.71, 5.80, 6.03, 5.87, 6.22, 5.97, 5.57, 5.83. Calculate the value of the test statitic and state your conclusion clearly. (5 marks) Total: 10 marks