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# 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...

## Question

###### 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 to 10 years old with 5 who were 11 to 13 The younger children consumed an average of 8.5 Oz of sweetened drinks per day while the older ones averaged 14.2 The standard deviations were 10.8 0z and 8.5 0z respectively Use younger children as population 1. (a) Do you think that it is reasonable to assume that these data are Normall

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 to 10 years old with 5 who were 11 to 13 The younger children consumed an average of 8.5 Oz of sweetened drinks per day while the older ones averaged 14.2 The standard deviations were 10.8 0z and 8.5 0z respectively Use younger children as population 1. (a) Do you think that it is reasonable to assume that these data are Normally distributed? Explain why or why not: (Hint: Think about the 95-99 rule, The distributions appear to be Normal according to the 68-95 99.- rule We can see that the groups have means and standard deviations_ two characteristics of Normal distributions_ The 68-95 99. rule suggests that the distributions are not Normal. If they were_ we would expect some of the children to drink negative amounts of sweetened drinks_ which does not make sense (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. SED = 1-260 P-value (c) Give 95% confidence interval for the difference in means_ (Round your answers to four decimal places: 215.019 4619

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