3. It is claimed that a new diet will reduce a person's weight, on the average in a period of two weeks. The weight of 10 women who followed this diet were recorded before and after a 2-week period, yielding the following data: Woman 2 3 4 5 6 7 8 10 Weight before 58.5 60.3 61.7 69.0 64.2 62.6 56.7 63.6 68.2 59.4 Weight after 60.0 54.9 58.1 62.1 58.5 59.9 54.4 60.2 62.3 58.7 Test the hypothesis that the diet reduces the weight against the alternative hypothesis that there is a significant difference