Two samples from the same population both have n = 10 scores with M = 45.If the t statistic is computed for each sample,then what is the relationship between the two t values?
A)The two t statistics will be identical.
B)The sample with the larger variance will produce the larger t statistic.
C)The sample with the smaller variance will produce the larger t statistic.
D)There is no way to predict the relationship between the two t statistics

Question

Two samples from the same population both have n = 10 scores with M = 45.If the t statistic is computed for each sample,then what is the relationship between the two t values?​
A)​The two t statistics will be identical.
B)​The sample with the larger variance will produce the larger t statistic.
C)​The sample with the smaller variance will produce the larger t statistic.
D)​There is no way to predict the relationship between the two t statistics

Quizplus · Accepted Answer

The t statistic is inversely related to the sample variance; thus, the sample with the smaller variance will produce the larger t statistic because the denominator of the t formula (which includes the variance) will be smaller, making the value of t larger.

Two Samples from the Same Population Both Have N =