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25 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!! 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.

Sagot :

gadu0722

Answer:

Step-by-step explanitions:

this is true The central limit theorem holds true only for populations that are normally distributed.

this is also true For an infinite number of samples, 95% of the sample means would fall within the interval .

As the number of sample means decreases, the means get closer to a standard normal distribution.thsis is false

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