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Answer :
Final answer:
The most representative sample population is achieved through systematic sampling. Hence, the automobile manufacturer should test every 100th car off the assembly line. Therefore correct option is A
Explanation:
In statistics, to ensure a representative sample is chosen, methods that don't introduce bias into sampling should be applied. Out of the options provided, option A: The manufacturer tests every 100th car off the assembly line is the most representative method. This method, known as systematic sampling, makes the process arbitrary yet uniform. It has an equal likelihood of picking any car due to the regular interval employed, providing a good cross-section of the overall production. Other options like testing cars made on a certain day, the first car every day, or the last 20 cars each month may introduce bias because certain conditions might apply during those times only.
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