Question: New Guidelines from the Center for Disease Control indicate that while children need protein, a diet rich in fruits and vegetables and complex carbohydrates will decrease obesity and promote better health. An elementary school was randomly selected and the diets of 16 “wealthy” children and 16 “poor” children in the same grade) were compared. [All other variables were held constant to ensure an optimal match and the economic level of each child was determined by whether or not they qualified for free or reduced lunch.] The variable examined was the number of pounds of meat consumed each week. The following table indicates the data:

Test the hypothesis that there is no difference between the average amount of meat consumed per week by wealthy versus poor children versus the alternative hypothesis that wealthy children consume less meat (on average) per week. [Use \(\alpha \) - level of .05 and a Paired Difference Hypothesis Test.]