Decide whether each of the following statements is true or false. 1) The distrib

Question

Decide whether each of the following statements is true or false.
1) The distribution of the possible values of a statistic is called its sampling distribution.
2) The means of small samples from an approximately normal population are approximately normally distributed.
3) The means of large samples from an approximately normal population are approximately normally distributed themselves.
4) The means of small samples from a population that is not approximately normal are approximately normally distributed themselves.
5) The means of large samples from a population that is not approximately normal are approximately normally distributed themselves.

Explanation / Answer

1) True

2) True

3) True

4) False, if the population is non normal and the sample size is small then we can't say that the distribution of sample mean will be normal

5) True

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