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psy 295 exam 2 chapter 6
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12
Psychology
Undergraduate 3
11/15/2009

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Term
simple random sample
Definition
every member of the population has an equal chance of being selected.
Term
sample of convenience
Definition
a sample in which a researcher uses the participants who are available for the study.
Term
sampling error
Definition
the difference between a sample statistic and a population parameter.
Term
the central limit theorem
Definition
makes predictions about the characteristics of a distribution of sample means.
Term
M
Definition
sample mean
Term
3 properties of CLT
Definition
1. the mean of the sample means is equal to the population m.
2. the SD of the M is equal to the average distance a sample mean is from m. This property is also called the standard error of the mean.
3. the distribution of all sample means, of a given size, forms a normal distribution.
Term
grand mean
Definition
mean of the means
Term
standard error of the mean
Definition
equal to the standard deviation of the sample means
Term
standard error of the mean
Definition
sigmaM = sigma/square root N
Term
impact of sample size on sampling error
Definition
the sample size has a direct influence on the standard error of the mean.

The larger the sample size, the closer the sample mean will be to the population m. Also, the closer the sample mean is to the population m, the less sampling error will be encountered.
Term
z statistic
Definition
the distance an observed mean is from m, expressed in standard units.

not the same as a z score !!
Term
z statistic equation
Definition
z= M-m
----
sigma M

in words: z statistic = sample mean - population mean. Divided by standard error of the mean.
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