If two samples are selected from the same population,under what circumstances are the two samples guaranteed to 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 have the same variance

Question

If two samples are selected from the same population,under what circumstances are the two samples guaranteed to 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 have the same variance

Quizplus · Accepted Answer

The t statistic is dependent on sample size, sample mean, and sample variance. Therefore, if two samples are selected from the same population and have the same size, mean, and variance, they will have exactly the same t statistic.

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