If other factors are held constant,which set of sample characteristics is most likely to produce a significant t statistic?
A)n = 25 with s2 = 100
B)n = 25 with s2 = 400
C)n = 100 with s2 = 100
D)n = 100 with s2 = 400

Question

Quizplus · Accepted Answer

A significant t statistic is more likely when the sample size is larger and the variance (s2) is smaller. Among the options, option C has the largest sample size (n = 100) and a smaller variance (s2 = 100), which would reduce the standard error of the mean and increase the likelihood of obtaining a significant t statistic.

If Other Factors Are Held Constant,which Set of Sample Characteristics