Suppose a population that is normally distributed has a mean of 39.0 and a standard deviation of 19.5. If the sample size is 50, what does the central limit theory say about the sampling distribution of the mean?

Select one:

a. We can always assume the sampling distribution of the mean is normally distributed if the population data is normally distributed.b. The sample size is too large to assume that the sampling distribution of the mean is normally distributed.c. The sample size is not large enough to assume that the sampling distribution of the mean is normally distributed.d. The central limit theory says that real world data is close enough to being normally distributed to assume that the sampling distribution is also normally distributed.e. The sampling distribution of the mean is normally distributed since the magnitude of the standard deviation is less than the mean.f. There is not enough information to answer this question.