5. Mr Arumugam deposits RM6,000 in a bank and obtains RM120 simple interest after three months. Find the simple interest rate offered. (2 Marks) 6. Serena invests RM300 every three months for four years. She is offered 5% compounded quarterly for the first two years, and 8% compounded quarterly for the rest of the period. Find the accumulated amount at the end of the four years. (2 Marks) 7. Mansuri Construction Sdn. Bhd. is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. A random sample of 36 newly constructed homes had an average of 2,510 square feet. The population standard deviation of the size for all newly constructed homes is 480 square feet. Use a=0.02 to test the claim that the average size of new homes exceeds 2,400 square feet. Answer the following questions. a. Identify the claim and state the H0 and H1. (1 Mark) b. Calculate the test statistic. (1 Mark) c. Calculate the p-value. (1 Mark) d. Make a decision to reject or fail to reject the H0. (1 Mark) e. Interpret the decision in the context of the original claim. (1 Mark) [Total: 5 Marks]