Under what circumstances is a t statistic used instead of a z-score for a hypothesis test?
To find: The circumstances where t-statistic is used instead of a z-score for a hypothesis test.
The t statistic uses the sample variance or standard deviation in place of the unknown population values. Also, t-statistics is used when sample size is small .
The t-statistic is used when the population variance or standard deviation is unknown.
If use a z-score, the information about population mean, sample mean, population standard deviation and sample size is required. Moreover, z-score works well when sample size is large whereas t-score are ideal for small sample size cases.
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