If a data collection process introduces selection bias, what effect does the LLN have on the resulting average income calculation?
Answer
The law will only confidently converge to the wrong number because the sample is systematically unrepresentative.
If selection bias exists, the sample is systematically unrepresentative. The LLN ensures the average converges to the mean of the population it *represents*; if the sample selection itself is flawed from the start, the law converges reliably to an incorrect population parameter.
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