In a hypothesis test using a t statistic what is the influen

In a hypothesis test using a t statistic, what is the influence of a large sample variance?

Solution

The large is sample variance, the weaker is test statistic (gets closer to zero), and the chances of test statistic being in critical region reduces, i.e, when sample variance is large, we will probably end up with \"fail to reject null\", even when null hypothesis is false. (lower power)