211k views
2 votes
True or False: A sample taken from a normally distributed population will also be normally distributed.

User Slobobaby
by
7.9k points

2 Answers

3 votes

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

Explanation:

User GAVD
by
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.

User Rodolfojcj
by
7.7k points

No related questions found