Chapter 8 Flashcards
To make an inference about the population parameter we need…
A statistic that estimated the parameter and the sampling distribution of the statistic (sampling distribution of sample mean)
What is a statistic?
A number that is computed from the sample data
-the sampling distribution of a statistic is the distribution we obtain from repeatedly drawing samples and recalculating the statistic
When a parent population has mean mu (u), standard deviation (sigma), the sampling distribution of x-bar had mean mu (u) and
SD = sigma/sqrt(n)
This is the square root law
If n is large, the sampling distribution of x-bar is approximately normal, no matter what the parent population..
This is the central limit Theron
x-bar = sample mean
Let x-bar denote the corresponding random variable ( a variable whose value is determined by chance, according to a distribution)
We say x-bar is an unbiased estimate of mu (u) and we know that for large sample sized the observed c-bar will be close to mu (u)
Law of large numbers