Sampling Distributions

Sampling Distributions for the Central Limit Theorem

What makes "Sampling" different than a "Sample Distribution" ??

Videos:

Khan Academy's Sampling Distribution series of Videos - the second video really addresses the Probability ... https://www.youtube.com/results?search_query=khan+academy+statistics+sampling+distribution+

Dan suggested these three Videos: https://www.youtube.com/watch?v=uPX0NBrJfRI&t=0s&list=PLvGBXjU8Cgd5_7C9Iyl9Y-pFYhL-ZswqI&index=2

Special Thanks to Dan Lemay - Statistical Faculty & eTutor for CCV

Example: For a normal population with mean=70 and a standard deviation =9

What is the probability of obtaining a sample mean greater than 73 for a sample of n =36 scores?

Answer .0228

Mean = 70

Standard Deviation = 9

P(>73)

n = 36

We have a sample size greater than 30, so we know the distribution of the possible sample means is Normal wth a mean of 70 and a std dev of

Since we want to know what is the probability of getting a sample of 36 with a mean greater than 73, if the true mean is 70.

We are looking for this area:

Because this is a Normal distribution we can use z scores and a Normal curve table to find this area.

Now to look at the table: These tables always tell us the area to the left