A quality control manager wants to determine the percentage of defective light bulbs in the production line. Which of the following sampling methods would most likely lead to a valid inference?(1 point)

Question

Responses

testing the first 2,000 light bulbs in the production line
testing the first 2,000 light bulbs in the production line

retesting 100 light bulbs that have already been tested
retesting 100 light bulbs that have already been tested

testing every fiftieth light bulb in the production line
testing every fiftieth light bulb in the production line

testing the last 4,000 bulbs in the production line

Answer 1

The sampling method that would most likely lead to a valid inference about the percentage of defective light bulbs in the production line is:

testing every fiftieth light bulb in the production line.

This method represents a systematic random sampling approach, which helps ensure that the sample captures a representative cross-section of the entire production line, reducing potential bias. The other options are less effective because they either test a non-random sequence (the first 2,000, which might have inherent biases), retest previously tested bulbs (which does not provide new information), or focus on the last bulbs produced, potentially missing variations present in earlier production.