Answer the following questions : Draw all possible samples of size 2 from a population containing the units (a, b, c, d) without replacement.

Find out the correct answer out of the options given against each question : Total no. of all possible samples of size 3 from a population of size 20 in case of simple random sample without replacement is-

Find out the correct answer out of the options given against each questions : The number of all possible samples of size 2 from a population of 10' members using simple random sampling with replacement is

Answer the following questions (Alternatives are to be noted): Define simple random sampling without replacement.

Answer the following questions in short: Show that if n numbers are drawn at random without replacement from the set (1, 2, 3, ..., N), then var (barX) = ((N+1)(N-n))/(12n) .

Answer the following questions : If x_1,x_2,..x_n are independent observations form an infinite population With mean mu and variance sigma^2 , then show that sample mean barx is an unbiased estimator of mu .

Answer the following questions in short: Find the probability that specified member is included in an SRSWOR sample of size n from a population of size N.

Find out the correct answer out of the options given against each question: Total number of possible samples of size 3 each drawn by SRSWR from a population of 10 members is-

Find out the correct answer out of the options given against each questions : In a simple random sampling with replacement from a population of size N, the probability that a particular member is included in the selected sample of size n is

Find out the correct answer out of the options given against each questions : In random sampling with replacement from a population with standard deviation sigma if the sample size is equal to the population size, N, then the standard error of sample mean will be