Question

4. Why is having a normal Sampling Distribution important?

7. How is the mean and standard deviation for a Sampling Distribution affected as the sample size increases?

Answer 1

4.)

Ans: We can use this distribution to tell us how far off our own sample mean is from all other possible means, and use this to inform decisions and estimates in null hypothesis statistical testing.

Also it is important because it can tell us the probability of getting any specific mean from a random sample.

7.)

Ans: The mean will be approximately equal to the population mean.

and, standard deviation of the Sampling Distribution is given by:

(Standard Deviation of population)/sqrt(sample size)

Here, we can see if the sample size increase the Population standard deviation will decreases