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 10 women who followed the diet were recorded before and after
a 2-week period, yielding the following data:
Woman Weight After
1
2
3
4
5
6
7
8
9
10
Weight Before
59.4
68.2
63.6
56.7
62.6
64.0
69.0
61.7
60.3
58.5
weight After
58.7
62.3
60.2
54.4
59.9
58.5
62.1
58.1
54.9
60.0
At the 0.05 level of significance, test the hypothesis that the diet reduces the mean weight by
4.5 kg against the alternative hypothesis that the mean weight is less than 4.5 kg.
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