Answer to Question #318249 in Statistics and Probability for Aswani

Question

State whether the following statement are true or false and also give the reason im support your answer

(1)As we increase the sample size, representativeness of the population by the sample decrease

(2)In a big hall there are 50 rows and each row has 60 students. A research scholar selects 10 rows randomly and then randomly selects 15; students from each selected row. It is an example of cluster sampling procedure.

Answer 1

1: No, it increases. As sample size increases, the empirical cdf becomes closer to the real cdf.

2: Yes, the total population is divided into clusters and a simple random sample of the groups is selected. The elements in each cluster are then sampled.