Answer to Question #84850 in Statistics and Probability for John

Question

Twenty children are selected for a study on daily soda and milk consumption. The differences in consumption (Soda minus Milk) have a mean of 20 ml with a standard deviation of 33 ml.

1. Which of the following statements is/are true?
A) For each child, daily soda and milk consumption are dependent.
B) For each child, daily soda and milk consumption are independent.
C) In order to conduct a matched pairs t test, we must assume that differences in daily soda and milk consumption are normally distributed.
D) In order to conduct a matched pairs t test, we must assume that daily soda consumption and daily milk consumption are both normally distributed.

2. We would like to construct a 95% confidence interval for the true mean difference in daily consumption of soda and milk. What is the margin of error for the confidence interval?