Stat202:Test of Significance Concepts Crib Sheet

One Sample Z-Test

Hypotheses:

• About the population mean of a single quantitative variable.

Null hypothesis:

• Population mean has a specific value

$Penalty(x,y,a,m,b) = Error(x,y,a,m,b)^2$

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Alternative hypothesis:

• Pick one: the population mean is [(1) not equal to, (2) greater than, or (3) less than] the specific value.

Judgment from:

• A sample from the population.
• You can do the test if you only the sample mean and the sample size. But in all cases you need to assume you know the standard deviation of the population. The alternative to knowing the population standard deviation is to use the sample standard deviation, but that requires a different test.

$Penalty(x,y,a,m,b) = Error(x,y,a,m,b)^2$