25 POINTS Select all the correct answers. Which statements regarding the implications of the central limit theorem are true?

As the number of sample means decreases, the means get closer to a standard normal distribution.
For an infinite number of samples, 99.7% of the sample means would fall within the interval .
The central limit theorem holds true only for populations that are normally distributed.
For an infinite number of samples, 95% of the sample means would fall within the interval .
The mean of the population is the same as the mean of any sample taken from the population.
If the population is normally distributed, then the mean of a sample from that population will be normally distributed.