i. The chi-square distribution with large degrees of freedom approaches a normal distribution. ii. The chi-square distribution is positively skewed.
iii. Nonparametric tests of hypotheses, which are also called distribution free tests, require the population to be normally distributed.
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 correct because as the degrees of freedom increase, the chi-square distribution approaches a normal distribution.
Statement (ii) is also correct because the distribution is positively skewed as it cannot take negative values and has more values on the right-hand side of the distribution.
Statement (iii) is incorrect because nonparametric tests do not rely on the assumption of normality in the population. These tests do not require any assumptions about the population distribution, unlike parametric tests.

I the Chi-Square Distribution with Large Degrees of Freedom Approaches