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SULIT (BENG 2143) QUESTION 4 (a) A quality engineer is monitoring a process that produces timing belt for automobiles. The length of process to produce five different brands of timing belt were taken to determine if there is a difference in the median time to produce timing belt for the five brands. The populations are not normally distributed and the population variances are not equal. The data are shown in Table Q4(a). Table Q4(a): Length of process to produce a timing belt for five different brands (in minutes) Brand A Brand B Brand C Brand D Brand E 45 51 61 48 32 30 62 79 70 53 49 71 60 64 80 i. State the hypotheses statement for this problem. [2 marks] ii. Compute the critical value at a = 0.10. [2 marks] iii. Calculate the test statistic. [7 marks] iv. Determine if there is a difference in the median time to produce timing belt for the five brands based on (ii) and (iii) at a = 0.10. [2 marks]