We can use simple random sampling for infinite population.Question 5Select one:TrueFalse

Breakdown the Problem

1. Understanding Random Sampling: We need to understand if simple random sampling can be applied to infinite populations.
2. Definition of Infinite Population: Clarify what constitutes an infinite population.
3. Exploration of Validity: Examine whether simple random sampling is viable for infinite populations.

Relevant Concepts

1. Simple Random Sampling: A technique where each member of the population has an equal chance of being selected.
2. Infinite Population: A population that cannot be quantified or measured, such as all voters in a country or all potential future customers.

Analysis and Detail

1. Application to Infinite Population: While it’s true that each member of an infinite population can theoretically have an equal probability of being selected, the practical execution of simple random sampling becomes complex. In practice, infinite populations cannot be fully enumerated, making sampling a challenge.
2. Statistical Ensuring: For statistical estimations derived from samples taken from infinite populations, pseudo-random methods can be employed, but purely simple random sampling as defined may not be fully applicable.

Verify and Summarize

• Upon analyzing, simple random sampling can be discussed conceptually in terms of infinite populations. However, the practical realities often prevent its implementation as one would with finite populations.

Final Answer

False. While simple random sampling can be theoretically considered for infinite populations, in practice, it is not feasible as complete enumeration of an infinite population is impossible.