Tell whether the sampling strategy will result in a random...

Name: Problem 12, Chapter 9: Precalculus: Graphical, Numerical, Algebraic
Uploaded: 2019-07-12T19:26:32-08:00
Duration: 1 min 41 s
Channel: Matt Bremer
Description: Tell whether the sampling strategy will result in a random sample from the population under consideration. If it is not random, explain why it is not. A talk-show hostess wants to give free automobiles to ten random members of her audience. She instructs the ushers to go into the theater before the show and place special stickers under ten random seats of their choice.

Tell whether the sampling strategy will result in a random sample from the population under consideration. If it is not random, explain why it is not. A talk-show hostess wants to give free automobiles to ten random members of her audience. She instructs the ushers to go into the theater before the show and place special stickers under ten random seats of their choice.

Tell whether the sampling strategy will result in a random sample from the population under consideration. If it is not random, explain why it is not.

A talk-show hostess wants to give free automobiles to ten random members of her audience. She instructs the ushers to go into the theater before the show and place special stickers under ten random seats of their choice.

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Key Concepts

Random Sampling

Random sampling is a technique where every member of a population has an equal chance of being selected, ensuring that the sample is representative of the broader group. This concept is crucial for minimizing selection bias and ensuring that conclusions drawn from the sample are valid. In the context of the question, a truly random sampling procedure would require a method where each audience member has the same probability of being chosen, without any intermediary filters or choices influencing the outcome.

Sampling Bias

Sampling bias occurs when certain members of a population have a higher chance of being selected than others, often due to the sampling method used. In the scenario provided, allowing ushers the discretion to choose seats could result in a non-random sample if some seats (and consequently, the audience members seated there) are more likely to be chosen. This deviation from equal probability can introduce systematic errors in the selection process, undermining the representativeness of the sample.

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