It is claimed that a new diet will reduce a person's weight by 4.5 kg, on average, in a period of 2 weeks. The weights of 30 women,divided equally into three groups, who followed the diet were recorded before and after a 2-week period, yielding the following data: Group 3 Before 64.0 69.0 Group 2 After 54.0 61.0 Group 3 After 58.5 After Before Before 59.0 59.4 58.7 62.3 68.2 62.3 62.1 63.6 56.7 62.6 61.7 56.3 61.7 59.1 60.2 58.1 60.3 58.5 60.0 54.9 60.0 55.4 56.1 53.9 52.3 55.8 54.4 59.9 58.5 53.8 58.5 63.0 64.8 58.5 54.2 64.0 62.1 57.0 69.0 61.7 62.1 58.1 57.0 59.1 58.0 59.0 58.1 54.9 55.7 60.3 54.9 60.0 58.4 58.5 60.0 At the 0.05 level of significance, a) test the hypothesis that the mean weight of the women do not differ at the onset of the regimen; b) test the hypothesis that the mean weight of the women do not differ att the end of the regimen; and c) test the claim against the alternative hypothesis that the mean weight reduction is less than 4.5 kg.