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. The critical value for the claim that the difference of two means is less than zero with a level of significance of 0.025 and sample sizes of nine and seven, is -2.179.
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) (ii) is a correct statement but not (i) and (iii).

Question

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The Answer of 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. The critical value for the claim that the difference of two means is less than zero with a level of significance of 0.025 and sample sizes of nine and seven, is -2.179.
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) (ii) is a correct statement but not (i) and (iii).

I If the Null Hypothesis States That There Is No