Question

State whether the following statements are true or false and also give the reason in support of your answer:

a) The total number of all possible samples of size 2 without replacement from a population of size 7 is 49.

b) RBD is suitable in situations where it is not possible to divide the experimental material into a number of homogeneous blocks.

c) If experimental error is reduced considerably and the efficiency of the design is decreased.

d) If strata are heterogeneous then stratified sampling schemes provides estimates with greater precision.

e) As we increase the sample size, representativeness of the population by the sample decreases.

18 Mar 2026
Answer :
Word Count : 214
a) False. The number of possible samples of size 2 drawn without replacement from a population of size 7 is given by combinations, that is ( \binom{7}{2} = \frac{7 \times 6}{2} = 21 ), not 49. The value 49 would arise if sampling were done with replacement and order were considered, which is not the case here. b) False. Randomized Block Design (RBD) is specifically used when the experimental material can be divided
_____ __________ ______ _______ _____ _________ ______ ________.
__________ _______ _________ ______ _____ ______ ___ __________ ________ _______.
______ ___ __________ _____ _____ _________.
____ ____ ________ ____ ______ _____ _________ __________ __________.
____ ________ _________ _________ ________ ___ ________ _______ _____ ___ ____.
_____ _________ ______ ________ _________ _____ _________ ___ _______ ____ ____ ____.
______ ____ _____ ________ ____ ______.
________ ___ ___ ___ ______.
_________ ____ _____ _____ ________ _________ ____ _________.
___ _____ ______ _____ __________ ____ ___ ______ ___ __________ __________.
__________ ________ ________ _________ ___ __________ _____ _______ __________ __________ _______.
___ __________ ______ _____ ______ _________ ______.
___ _____ ___ ______ ______ _______ ___ ___ ____ _______.
__________ ____ _____ ________ __________ ________ __________ ________.
________ _____ _____ ____ _________ ______ ______ ___ ______ ___ ________ __________.
_______ _________ __________ __________ ________.
___ ____.
IGNOU ACADEMY
Your IGNOU journey, made easier.
  • Solved Assignments
  • Study Notes
  • Guess Papers
  • Question Papers
Skip in 10
Top
📞
Call Support Instant phone assistance IGNOU MST 13 2026 - State whether the following statements are true or false and also give | IGNOU Academy
→
🟢
WhatsApp Chat Fast live messaging
→
Email Us Business enquiries & support
→