The National Health Statistics Reports stated that a sample of 318 one-year-old boys had a mean weight of 25.0 pounds with a standard deviation of 3.6 pounds. In addition, a sample of 297 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of 3.8 pounds.

a. Construct a 95% confidence interval for the difference between the mean weights.

b. A magazine article states that the mean weight of one-year-old boys is the same as that of one-year-old girls.

Does the confidence interval contradict this statement?