Need some help understanding this please

What conditions must be met in order for a sampling distribution of proportions to be approximated by a normal distribution?

What conditions and theorem must be met in order for sampling distribution of means to be approximate by a normal distribution?

what are the conditions necessary for using the formula for standard deviation when examining a population from sampling distribution?

Question

Need some help understanding this please

What conditions must be met in order for a sampling distribution of proportions to be approximated by a normal distribution? 

What conditions and theorem must be met in order for sampling distribution of means to be approximate by a normal distribution?

what are the conditions necessary for using the formula for standard deviation when examining a population from sampling distribution?

ganeshie8 · Answer

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mathmale · Answer

I believe that one condition that must be satisfied is that np(1-p) must be 10 or greater for us to assume that the sampling distribution of proportions is normal.  Have you seen or read about this condition before?  If not, it'd be well worth your time to look this up in your textbook or online learning materials.