# Flashcard Set Preview

Side ASide B

Statistical Inference

A statement using inormation from a sample to draw conclusions about a population.

Sampling distributuion of the sample

Is the prob. distrib. of all possible values of the random variable x computed from a sample size n from a pop. w/mean u & standard deviation o.

Law of Large Numbers

As additional observations are added to the sample, the difference between the sample mean, x, and the population mean u approaches zero.

Standard error of the mean

the standard deviation of the sampling distribution of x.

Central Limit Theorem

Regardless of the shape of the pop., the sampling distrib.of x becomes approx. normal as the size n increases.

The Shape of the Sampling Distr. of x
If X is Normal

If a random variable X is normally distributed, the distrb. of the sample mean, x, is normally distibuted.

Exponential Density Function

Used

What is used to conclude the sampling distribution of x, in a histogram

Shape
Center
Spread

Sample Proportion

Is a statistic that estimates the population proportion,p.

Sampling Distribution of p

For a simple random sample size n such that n 0.05N(that is sample size is less than or equal to 5% of the pop. size.)