It is claimed that a new diet will reduce a person's weight by 4.5 kilograms, on average, in a period of 2 weeks. The weights of 10 women who followed this diet were recorded before and after a 2-week period yielding the following data. Use the sign test at the 0.05 level of significance to test the hypothesis that the diet reduces the median weight by 4.5 kilograms against the alternative hypothesis that the median difference in weight is less than 4.5kilograms.

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Weight Before Weight After Woman 60.0 54.9 58.1 62,1 58.5 59.9 54.4 60.2 58.5 60.3 61.7 69.0 64.0 62.6 56.7 63.6 68.2 9. 62.3 58.7 59.4