Pairwise comparisons of population means

The weight gain of women during pregnancy has an important effect on birth weight of their children. If the weight gain is not adequate, the infant is more likely to be small and will tend to be less healthy. In a study conducted in three countries, weight gains (in kilograms) of women during the third trimester of pregnancy were measured. The results are as follows:
Country
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n
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s
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Egypt 46 3.7 2.5
Kenya 111 3.1 1.8
Mexico 52 2.9 1.8
  1. How is this table of information similar to and/or different from a two-way table?

  2. Use pairwise comparisons of differences in means to determine if the evidence provided by these samples is significant at the 5% level to conclude that the weight gain during the 3rd trimester of expectant mothers is different between the countries included.

[Source: Moore/McCabe, “Introduction to the Practice of Statistics”, Exercise 12.24.]


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