If the z statistic is incorrectly used in lieu of the t statistic when comparing two population means based on independent,small random samples from two normally distributed populations with unknown variances,then the probability of committing a Type II error __________.
A)increases
B)decreases
C)remains the same
D)is 1
E)is 0

Question

Quizplus · Accepted Answer

Using the z statistic instead of t statistic results in a narrower distribution and larger critical values. This leads to a smaller rejection region and a higher chance of accepting the null hypothesis when it is actually false, increasing the probability of committing a Type II error.

If the Z Statistic Is Incorrectly Used in Lieu of the T