Test of the mean
Test of the population
Large samples
One sample
Two samples
note: only use if both n
π>5 and n(1-π)>5Small samples
One sample
Summary of statistical significance tests for mean and proportion
|
|
Test of the mean |
Test of the population |
|
|
Large samples |
One sample |
|
|
|
Two samples |
|
note: only use if both n π>5 and n(1-π)>5 |
|
|
Small samples |
One sample |
|
|
| Two samples |
|
||
| Key to notation: | ||
| μ | = | mean of population |
| m | = | mean of sample |
| n | = | size of sample |
| π | = | proportion of population which shows the characteristic being studied |
 |
= | pooled estimate of proportion |
| σ | = | = standard deviation of population |
| s | = | = standard deviation of sample |
| X | = | = number of observations in sample which show the characteristic being studied |