Question

1- (i) For populations scattered in a wide area, the preferred technique for sampling is cluster sampling.
(ii) If the population can be divided into homogeneous subgroups, stratified random sampling is the best sampling method to use.
(iii) If every k-th item in the population sequence is selected, you are using systematic random sampling.

2-

i. If a population is not normally distributed, the sampling distribution of the sample means tends to approximate a normal distribution.
ii. The Central Limit Theorem states that if the sample size n is sufficiently large, the sampling distribution of the means will be approximately normal no matter whether the population is normally distributed, skewed, or uniform.
iii. Based on the sampling distribution of the means and the central limit theorem, the sample mean can be used as a good estimator of the population mean, assuming that the size of the sample is sufficiently large.

Select one:

a. (ii) and (iii) are correct statements but not (i).

b. (i), (ii), and (iii) are all false statements.

c. (i) is a correct statement, but not (ii) or (iii).

d. (i), (ii), and (iii) are all correct statements.

e. (ii) is a correct statement, but not (i) or (iii).

Select one:

a. (ii) and (iii) are correct statements but not (i).

b. (i) and (iii) are correct statements but not (ii).

c. (i), (ii), and (iii) are all correct statements

d. (i) and (ii) are correct statements but not (iii).

e. (i), (ii), and (iii) are all false statements.

Answer 1

Question 1 : answer is option d

(i), (ii) and (iii) are all correct statements

Question 2 : answer is option a

(ii) and (iii) are correct statements but not (i).