Step 1: Here is a study that looked at beverage consumption, using sample sizes

Question

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

Explanation / Answer

step 1: Correct Answe: Option (B)

Step 2:

Test Statistic, t: 1.4388
Degrees of freedom: 7.8315

Step 3: Correct Answer: option (C)

Step 4: Correct Answer: option (A)

since

95% Confidence interval:
-16.43512 < µ1-µ2 < 3.835123

Step 5: Correct Answer: Option (B) False

step 6: True

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