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 of8.5oz of sweetened drinks per day while the older ones averaged14.3oz. The standard deviations were10.7oz and8.5oz respectively.

(a) Would it be reasonable to assume that these data are Normally distributed? Explain why or why not. (Hint:Think about the 689599.7 rule.)

(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. Report all details of the significance-testing procedure with your conclusion. (Round your answers to three decimal places.)

SE_D=

_t=

_df=

_p-value=

(c) Give a 95% confidence interval for the difference in means. (Round your answers to four decimal places.) (_____,_____)

(d) Is the analyses performed in parts (b) and (c) are appropriate for these data? Explain why or why not.

(e) The children in this study were all participants in an intervention study at a summer day camp at a particular university. To what extent do you think that these results apply to other groups of children?