Unit 8 - Sampling Distributions Flashcards
What is a parameter?
A number that describes a population
What is a statistic?
A number that describes a sample
What is a sampling distribution?
The distribution of a statistic (like p-hat or x-bar) from repeated samples of the same size from a population
As the sample size increases, the standard deviation of a sampling distribution _____________
decreases
What is the Central Limit Theorem?
For n >30, the sampling distribution will be approx normal EVEN IF the original population is NOT NORMAL
If the population is normal, the sampling distribution of sample means will also be ___________ even when n is small
normal
If the population is skewed, the sampling distribution of sample means will be normal only if __________
n >30
The sampling distribution of sample proportions will only be normal if…
np and nq >10