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1. What is a sampling distribution? 2. If we are considering the sample mean, how do...

1. What is a sampling distribution?

2. If we are considering the sample mean, how do we calculate the standard error of the sample mean?

3. If we are considering the sample proportion, how do we calculate the standard error of the sample proportion?

Math   Statistics-And-Probability   
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Answer #1

1. Sampling distribution is the distribution of a statistic obtained from a sample of a specific population .

Consider a population of a class having 50 students . Take 10 random samples and compute the mean weight .  

Now there can be   samples and eah sample will produce a mean , which may or may not be different . SO the distribution of all these means is called the sampling distribution of sampling mean .

2. If a sample of size n has standard deviation s , then standard error of sample mean is  

3. If a sample of size n has sample proportion p , then standard deviation of sample proportion is

So, standard error of sample proportion is   

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