In general, the central limit theorem applies only to the sample mean.

In this case, A and Bare not sample means. Thus, the central limit theorem cannot be applied.

Therefore, people cannot assert that the sampling distributions of A and Bare approximately normal, if the sample sizes of A and Bare large.

In this case, A and Bare not sample means. Thus, the central limit theorem cannot be applied.

Therefore, people cannot assert that the sampling distributions of A and Bare approximately normal, if the sample sizes of A and Bare large.