If two samples are selected from the same population,under what circumstances will the two samples have exactly the same t statistic?
A)If the samples are the same size and have the same variance
B)If the samples are the same size and have the same mean
C)If the samples have the same mean and the same variance
D)If the samples are the same size and have the same mean and the same variance

Question

Quizplus · Accepted Answer

The t statistic is dependent on both the sample mean and sample standard deviation (which is based on the sample variance). Therefore, for two samples to have exactly the same t statistic, they must have the same sample mean and sample standard deviation, which is equivalent to having the same sample variance. Additionally, they must be the same size so that the sample standard deviations are being compared on the same scale. Therefore, choice D is the best answer.

If Two Samples Are Selected from the Same Population,under What