Asked by Aaliyah Simoné on May 16, 2024

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Which of the following is not a correct statement about the systematic random sample?

A) This type of sample has the advantage of being usable even when we do not know the size of the frame and, thus, cannot label each elementary unit with a number.
B) This type of sample is a subset of a frame, or of an associated population, chosen by taking separate censuses in a randomly chosen subset of geographically distinct clusters into which the frame or population is naturally divided.
C) This type of sample is a subset of a frame, or of an associated population, chosen by randomly selecting one of the first k elements and then including every kth element hereafter until the desired sample size has been reached.
D) This type of sample might be used by a quality inspector who wants to determine the percentage of defective units produced on an assembly line that never shuts down.
E) Both "This type of sample is a subset of a frame, or of an associated population, chosen by taking separate censuses in a randomly chosen subset of geographically distinct clusters into which the frame or population is naturally divided" and "This type of sample is a subset of a frame, or of an associated population, chosen by randomly selecting one of the first k elements and then including every kth element hereafter until the desired sample size has been reached" are incorrect.

Systematic Random Sample

A sampling method where elements are selected from an ordered sampling frame using a starting point and a fixed periodic interval.

Subset

A set containing some or all elements of another set, without any additional elements.

Frame

In survey research, a frame is a list or representation of all the elements in the population from which a sample is drawn.

  • Distinguish among the different methods of sampling, including cluster sampling and stratified random sampling.
  • Critically analyze and evaluate various sampling strategies and the inferences derived from sample data, including an in-depth look at judgment and quota samples.
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JT
Jonathan TheodoreMay 17, 2024
Final Answer :
B
Explanation :
The systematic random sample is a subset of a frame or associated population chosen by randomly selecting one of the first k elements and then including every kth element hereafter until the desired sample size has been reached. Option B describes a cluster sampling technique.