Assuming that there is a 5-point difference between the two sample means,which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic?
A)large sample sizes and small sample variances
B)large sample sizes and large sample variances
C)small sample sizes and small sample variances
D)small sample sizes and large sample variances

Question

Assuming that there is a 5-point difference between the two sample means,which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic?​
A)​large sample sizes and small sample variances
B)​large sample sizes and large sample variances
C)​small sample sizes and small sample variances
D)​small sample sizes and large sample variances

Quizplus · Accepted Answer

Large sample sizes increase the precision of the estimate of the population mean, and small sample variances reduce the standard error, both of which contribute to a larger t statistic, making it more likely to be significant.

Assuming That There Is a 5-Point Difference Between the Two