Sampling Distribution

Question 1

What is the central limit theorem?

Answer 1

• CLT: if the sample size is large enough (n = 50+) the distribution of sample means is Normal

If the population/sample falls under the central limit theorem, it can be right, left, or symmetrical skewed, but the distribution of sample means will always be Normal (symmetrical)

Question 2

Define sampling distribution

Answer 2

• Sampling distribution: the distribution of values taken by a statistic in all possible samples of the same size from the same population.

Question 3

If we had all sample means based on all possible SRS’s, what can we conclude about the population mean and the population SD?

Answer 3

x-bar = µ

s = σ/√(n)