Question 3 (a) XYZ insurance company believes that their average claim amount for each customer is RM2500. A random sample of 50 claims shows the sample mean is RM2655.66. Furthermore, it is known that the population standard deviation for the claim amount is RM500. At a significance level of 5%, test the company's claim. (1 1 marks) (b) Consider an experiment with five groups, with nine values in each. Among c- 1 =? SSA = 80 MSA = ? FSTAT = ? groups Within n- c= ? SSW = ? MSW = 11.5 groups Total 1- 1 =? SST = ? (i) For the ANOVA summary table below, fill in all the missing results. (10 marks) (ii) At the 0.05 level of significance, state the decision rule for testing the null hypothesis that all five groups have equal population means and make the statistical decision. (4 marks) [Total: 25 Marks]