Unit wise important questions
B.Sc (M.S.Cs)-III Year Subject: Statistics, Paper: III UNIT-I 1. Explain the principal steps involved in a sample survey. 2. (i). Distinguish between SRSWOR and SRSWR with examples. (ii). In SRSWOR, show that the Probability of selecting a specified unit at any given draw is equal to the probability of selecting it at the first draw. 3. In SRSWOR, show that (i). Sample mean square is an unbiased estimator of population mean square. (ii). V( n )= {(N-n)/Nn} S 2 4. Explain the purpose of stratification in sample survey. Show that V( n ) R V( st ) prop in usual notations. 5. In usual notations, prove that the systematic sample mean is more efficient than the mean of a simple random sample taken without replacement if S 2 wsy S 2 . 6. With the usual notations, Prove that V( st ) opt V( st ) prop V( n ) wor 7. In Neyman allocation of stratified random