Suppose the following data gives the mass of adults in kilograms sampled from three villages A, B,C B 71.5 68.0 62.0 65.0 60.5 62.8 63.3 73.5 71.3 73.1 58.4 58.7 73.6 74.1 64.7 72.5 65.5 58.1 78.1 73.6 66.0 73.0 50.6 58.5 66.5 76.5 72.6 66.8 62.1 52.6 74.3 73.3 71.1 71.9 64.5 58.8 76.3 76.0 65.4 65.0 60.6 63.7 62.0 64.0 59.1 69.9 62.9 61.6 62.8 69.6 69.7 69.8 60.2 67.2 72.9 69.2 77.1 78.5 63.4 58.2 (a) Assuming that these samples are independent, run t-tests to determine which of the villages have identical mean mass of adults stating clearly the hypotheses you are testing. State your conclusions based on the p-value as well as the t-value. (b) State the assumption under which your tests are valid.