no matter what the shape of the parent population is, as long as our sample size is 10 or greater, we can conclude that the sampling distribution of the sample mean is approximately normally distributed. group of answer choices true false

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24-11-2022
Mathematics

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no matter what the shape of the parent population is, as long as our sample size is 10 or greater, we can conclude that the sampling distribution of the sample mean is approximately normally distributed. group of answer choices true false

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HafsaM HafsaM · Answer 1 · 2022-12-02T10:37:38+01:00

No matter what the shape of the parent population is, as long as our sample size is 10 or greater, we can conclude that the sampling distribution of the sample mean is approximately normally distributed. This statement is False.

We know that,

the Central limit theorem says that no matter what the distribution of the population is, as long as the sample is "large", meaning of size 30 or more, the sample mean is approximately normally distributed. If the population is normal to begin with then the sample mean also has a normal distribution, regardless of the sample size.

So therefore we need sample size greater than 30 and we have given 10 or greater.

Hence the given statement is false.

To know more about sample size here

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