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