Mathematics, 04.06.2021 23:50 nanagardiner08

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Which statements regarding the implications of the central limit theorem are true?

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

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