Difference between revisions of "Stat202:Test of Significance Concepts Crib Sheet"

From Sean_Carver
Jump to: navigation, search
(One Sample Z-Test)
(One Sample Z-Test)
Line 9: Line 9:
 
* Population mean has a specific value  
 
* Population mean has a specific value  
  
<big> <math> Penalty(x,y,a,m,b) = Error(x,y,a,m,b)^2 </math> </big>
+
<big> <math> Penalty(x,y,a,m) = Error(x,y,a,m)^2 </math> </big>
  
 
<math> 1+1 </math>
 
<math> 1+1 </math>

Revision as of 18:13, 13 April 2017

One Sample Z-Test

Hypotheses:

  • About the population mean of a single quantitative variable.

Null hypothesis:

  • Population mean has a specific value

Failed to parse (Missing <code>texvc</code> executable. Please see math/README to configure.):


Failed to parse (Missing <code>texvc</code> executable. Please see math/README to configure.):


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