In a large population, a survey analyst aimed to assess the average weekly consumption of dairy products. The true average consumption in this population is unknown, but it is assumed to follow a normal distribution. For a given sample size, the analyst recorded the following statistics:

Sample size (n) = 64
Sample mean (x̄) = 8.3 kg
Sample standard deviation (s) = 2 kg

Consider the following statements:

A. The standard error of the sample mean is 0.25 kg.

B. According to the Central Limit Theorem (CLT), approximately 95% of the sample means will fall in the interval (7.82 kg, 8.78 kg) assuming repeated sampling.

C. If a new sample of size 64 were drawn, there is a 68% probability that the sample mean would be between 8.05 kg and 8.55 kg.

D. The 95% confidence interval for the population mean using this sample data is (8.13 kg, 8.47 kg).