Standard error is used in the calculation of both the z and t statistic, with the difference that:
A) t statistics require fewer numeric calculations than z statistics.
B) the standard error for the t statistic is estimated using the sample standard deviation.
C) the z statistic is based on known properties of the sample being studied.
D) the population standard deviation is the basis of standard error in the t test.

Question

Quizplus · Accepted Answer

The standard error for the t statistic is estimated using the sample standard deviation, while the z statistic is based on known properties of the population being studied. Both statistics use standard error in their calculation. However, t statistics require more numeric calculations than z statistics, as they also involve estimating the degrees of freedom. Choice A and C are incorrect interpretations, and choice D is incorrect as the population standard deviation is used in calculating the standard error for the z statistic, not the t statistic.

Standard Error Is Used in the Calculation of Both the Z