What is the difference between the standardized normal distribution (used for tests with z) and the t distribution?
The t distribution is used when the population standard deviation is unknown and the sample size is small. And the t- test statistic is calculated using n– 1 degrees of freedom.
RATIONALE: The t-distribution and the normal approximation arise only for small sample sizes.
In that case, the t-distribution is used which adjust for additional error due to the fact that the population standard deviation is unknown.
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