A study that looked at beverage consumption used sample sizes that were much smaller than previous national surveys. One part of this study compared 20 children who were 7 to 10 years old with 5 who were 11 to 13. The younger children consumed an average of 8.4 oz of sweetened drinks per day while the older ones averaged 14.1 oz. The standard deviations were 10.9 oz and 8.4 oz respectively. Required:
a. Do you think that it is reasonable to assume that these data are Normally distributed? Explain why or why not?
b. Using the methods in this section, test the null hypothesis that the two groups of children consume equal amounts of sweetened drinks versus the two-sided alternative.
c. Give a 95% confidence interval for the difference in means.