Difference between revisions of "Stat202:Test of Significance Concepts Crib Sheet"
From Sean_Carver
(→One Sample Z-Test) |
(→One Sample Z-Test) |
||
Line 16: | Line 16: | ||
* A sample from the population. | * 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. | * 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. | ||
+ | |||
+ | |||
+ | <big> <math> Penalty(x,y,a,m,b) = Error(x,y,a,m,b)^2 </math> </big> |
Revision as of 18:12, 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.):
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.