Below are the quarterly returns on investment (in 000s) of two different investment projects which 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. In particular, your manager suspects that 'Investment B' outperforms 'Investment 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, assume that both returns come from independent samples, are both normally distributed and that the true (but unknown) variances are not the same.

Quarter Investment A Investment B Quarter Investment A Investment B 2012Q1 85 96 2012Q2 89 83 201203 90 112 201204 94 112 201301 89 101 2013Q2 103 90 201303 89 107 2013Q4 83 93 201401 88 94 201402 91 109 201403 90 104 201404 83 76 201501 76 101 2015Q2 87 94 201503 94 82 201504 93 97