Below are the quarterly returns on investment [in 000s] of two different investment projects that had the same initial outlay. There is a sample of 16 quarters of returns and your manager has asked you to investigate the relative performance of each project. She suspects that "lnyestment B' outperforms "lnvestment A' and she would like you to test this hypothesis. Perform an appropriate statistical test that incorporates your manager's hypothesis. Hint: in this question you will need to calculate the mean and standard deviation of each investment, assume that both returns came from independent samples, alre both normally distributed and that the {true but unknown) variances are the same. {10 ma rks} Quarter Investment A Investment B 201201 28 95 201202 83 93 201203 25 84 201204 Ti 93 201301 2'3 90 201302 2'5 84 201303 85 88 201304 81 91 201401 85 93 201402 2'9 8? 201403 2'9 2'5 201404 2'5 85 201501 85 2'? 201502 T2 2'? 201503 25 90 201504 81 98