The formula for the t statistic has the same structure as the z-score formula, except that the t statistic uses the estimated standard error in the denominator. The t-statistic is used to test hypotheses about an unknown population mean u when the value of "$ \sigma $" is unknown. At large samples, the z and t samples are very similar. The t-distribution is similar to the Z-distribution, but is sensitive to sample size and is used for small or moderate samples when the population standard deviation is unknown. The Z distribution is a special case of the normal distribution with a mean of 0 and standard deviation of 1. Previous - Continuous Probability Distribution – Normal Distribution Difference between Z Distribution and T Distribution
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