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True or False: A sample taken from a normally distributed population will also be normally distributed.

2 Answers

3 votes

Answer:is true just got it wrong on edgen because of the person above me

Explanation:

answered
User GAVD
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8.6k points
3 votes

The correct answer is:

False.

Explanation:

We cannot be sure that all samples from a normal distribution will also be normally distributed.

The Central Limit Theorem states that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger, especially for sample sizes over 30. Basically as you take more samples from a given distribution, especially large samples, the graph of the sample means will look more like a normal distribution.

However, this does not state that all samples of a normal distribution will also be normal.

answered
User Rodolfojcj
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7.7k points

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