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QUESTION 3 A study was conducted to evaluate the performance of small-medium enterprises (SMEs) from two states. A sample of 15 small companies from State A and 10 small companies from State B were selected. For each of the corresponding states, the return on investment (ROI) (in RM'OO 000) and the return on assets (ROA) (in RM'OO 000) per year were recorded. The summary statistics of the data are as follows: X = [80 65 X = [63 50] [19.91 6.617 S pooled 6.61 9.61 a) Draw the mean profiles for the two states. Comment on the profiles. (4 marks) b) List THREE (3) tests that can be carried out under a profile analysis. (3 marks) c) Test whether the mean profiles of the two states are parallel using a = 0.05. (8 marks) QUESTION 3 A study was conducted to evaluate the performance of small-medium enterprises (SMEs) from two states. A sample of 15 small companies from State A and 10 small companies from State B were selected. For each of the corresponding states, the return on investment (ROI) (in RM'OO 000) and the return on assets (ROA) (in RM'OO 000) per year were recorded. The summary statistics of the data are as follows: X = [80 65 X = [63 50] [19.91 6.617 S pooled 6.61 9.61 a) Draw the mean profiles for the two states. Comment on the profiles. (4 marks) b) List THREE (3) tests that can be carried out under a profile analysis. (3 marks) c) Test whether the mean profiles of the two states are parallel using a = 0.05. (8 marks)

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