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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.)
