For estimating a population mean, a larger sample size generally produces a more accurate estimate due to the reduction in sampling error and the increased precision of the estimate. Among the options provided:
- 10
- 50
- 100
- 500
The sample size of 500 is likely to produce the most accurate estimate of the population mean for a given population. Larger sample sizes provide more information and tend to yield estimates that are closer to the true population parameter.