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Question

Which of the following are probability sampling? 

(A) Cluster sampling 

(B) Quota sampling 

(C) Multiphase sampling 

(D) Stratified random sampling 

(E) Snowball sampling 

Choose the correct answer from the options given below :

The correct answer is
(A), (C) and (D) Only

Understanding Probability Sampling Methods

Probability sampling techniques ensure that every individual in the population has a known, non-zero chance of being selected for the sample. This randomness is crucial for generalizing findings to the larger population.

Analysis of Sampling Methods

Let's examine each option to determine if it qualifies as probability sampling:

  • (A) Cluster sampling: This is a probability sampling method. The population is divided into groups (clusters), and then a random selection of clusters is made. All individuals within the selected clusters are included in the sample.
  • (B) Quota sampling: This is a non-probability sampling method. Participants are selected based on pre-defined quotas, but the selection within those quotas is not random.
  • (C) Multiphase sampling: This method involves collecting information from a sample using different techniques in multiple stages. While complex, it typically relies on probability sampling principles at various stages to be effective and is often categorized under probability sampling designs.
  • (D) Stratified random sampling: This is a core probability sampling method. The population is divided into distinct subgroups (strata), and a random sample is drawn from each stratum.
  • (E) Snowball sampling: This is a non-probability sampling technique where existing participants recruit future participants from their acquaintances.

Conclusion

Based on the analysis, Cluster sampling (A), Multiphase sampling (C), and Stratified random sampling (D) are considered probability sampling methods. Quota sampling (B) and Snowball sampling (E) are non-probability methods.

Therefore, the correct combination is (A), (C), and (D).

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Important Questions from Probability and Statistics

  1. In a frequency curve, what is plotted on the vertical axis?

  2. If the probability of a bad reaction from a certain injection is 0.001, the chance that out of 2000 individuals, more than two will suffer of a bad reaction is

  3. If x and y are deviation from mean x̅ and y̅ respectively and if r = 0.5, ∑xy =  120, σy = 8 and ∑x 2= 90, what is the value of 'n' ?

  4. In an examination involving multiple choice questions, a student works out the solution in 50% of the questions. In the remaining questions the student guesses the answer. However, when the answer is guessed the probability that it is correct is 0.30. When the student works out the solutions it may be wrong with probability 0.10.

    If the answer to a particular question is correct, what is the probability that the student guessed the answer?

  5. The lengths of a large stock of titanium rods follow a normal distribution with a mean (μ) of 440 mm and a standard deviation (σ) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?

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