27. Representative Sample? You want to determine the average number of classes skipped by
first-year students at a small college during a particular semester. State whether each of the
following samples is likely to be representative and explain why or why not.
Sample 1: 100 first-year students who belong to a sorority or fraternity
Sample 2: 100 first-year students who play a varsity sport
Sample 3: The first 100 first-year students whom you meet at the student union
Sample 4: 100 first-year students taking honors humanities,, courses

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A sample is said to be representative if the selection made form have population is free of bias. Evaluating the selection criteria listed above :

  • Sample 1 will not likely be representative as students who do not belong to either a sorority or fraternity are automatically exempted from the selection.

  • Sample 2 will not likely be representative because not all students play a varsity sport, hence students who do not play a varsity sport won't have a chance of being selected.

  • Sample 3 is a convenience sampling technique, they often exhibit sampling bias hence, sample 3 is not representative of the population.

  • Sample 4 will not likely be representative as students taking other courses aside humanities have no chance of being selected.

Therefore, all the sampling methods are not representative of the population of first year student.

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