i. If the null hypothesis states that there is no difference between the mean income of males and the mean income of females, then the test is one-tailed. ii. If we are testing for the difference between two population means, it is assumed that the sample observations from one population are independent of the sample observations from the other population.
iii. If we are testing for the difference between two population means, it is assumed that the two populations are approximately normal and have equal variances.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

Statement (i) is incorrect because testing for no difference between two means can be either one-tailed or two-tailed, depending on the research hypothesis. Statements (ii) and (iii) are correct as they describe standard assumptions for testing differences between two population means.

I If the Null Hypothesis States That There Is No