2. Step 1: Here is a study that looked at beverage consumption, using sample siz

Question

2.
Step 1:
Here is a study that looked at beverage consumption, using sample sizes which are relatively smaller. 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 8.2 oz of sweetened drinks per day while the older ones averaged 14.5 oz. The standard deviations were 10.7 oz and 8.2 oz respectively.

Do you think that it is reasonable to assume that these data are Normally distributed? Explain why or why not. (Hint: Think about the 68–95–99.7 rule.)


Imposing the 68-95-99.7 on this data, leads to a right-skewed distribution. This cannot be determined without knowing the detailed data. The data may fit the 68-95-99.7 rule. The data cannot be Normal because the random variable does not take negative values.


Step 2:
Here is a study that looked at beverage consumption, using sample sizes which are relatively smaller. 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 8.2 oz of sweetened drinks per day while the older ones averaged 14.5 oz. The standard deviations were 10.7 oz and 8.2 oz respectively.

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.

Give the absolute value of the test statistic (to 2 decimal places) and the software approximation for the degrees of freedom (to one decimal place).
Fill in the blanks:
A) _______ .
B) _______ .

Answer 1
Answer 2



Step 3:
Here is a study that looked at beverage consumption, using sample sizes which are relatively smaller. 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 8.2 oz of sweetened drinks per day while the older ones averaged 14.5 oz. The standard deviations were 10.7 oz and 8.2 oz respectively.

Report your conclusion of the two-sided test. The data give some evidence that the two groups of children consume different amounts of sweetened drinks. The data do not give enough evidence that the two groups of children consume different amounts of sweetened drinks. The data give strong evidence that the two groups of children consume different amounts of sweetened drinks. The data give some evidence that the children aged 7 to 10 years consume more sweetened drinks than children aged 11 to 13 years.


Step 4:
Here is a study that looked at beverage consumption, using sample sizes which are relatively smaller. 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 8.2 oz of sweetened drinks per day while the older ones averaged 14.5 oz. The standard deviations were 10.7 oz and 8.2 oz respectively.

Give a 95% confidence interval for the difference in means (the lower index 1 indicates the 7 to 10 years old children, and the lower index 2 indicates the 11 to 13 years old children). A 95% confidence interval is,


Step 5:
Here is a study that looked at beverage consumption, using sample sizes which are relatively smaller. 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 8.2 oz of sweetened drinks per day while the older ones averaged 14.5 oz. The standard deviations were 10.7 oz and 8.2 oz respectively.

Do you think that the analyses performed in parts (b) and (c) are appropriate for these data? Explain why or why not.
True or False:
The two-sample procedures are more robust than the one-sample -methods. Using these procedures for these data is appropriate. True False


Step 6:
Here is a study that looked at beverage consumption, using sample sizes which are relatively smaller. 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 8.2 oz of sweetened drinks per day while the older ones averaged 14.5 oz. The standard deviations were 10.7 oz and 8.2 oz respectively.

The children in this study were all participants in an intervention study at the Cornell Summer Day Camp at Cornell University. To what extent do you think that these results apply to other groups of children?
True or False:
This sample may be considered as an SRS from the general population, since it is not reasonable that the children would change their behavior of drinking sweetened drinks because of this intervention. True False Equation Editor

Explanation / Answer

Solution:-
Step 1: option B.

Step 2: t = -1.2222
df = 23 => n1+n2-2 = 20+5-2 = 23

Step 3: option B.

Step 4: option C.

Step 5: option A. true

Step 6: option B.Flase

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