Final answer:
None of the given sample sizes (50, 200, 100, 5) would inherently prevent an estimate of the population mean from being made; the correct answer is 'Cannot be determined' due to lack of context.
Step-by-step explanation:
The sample sizes in question (A: 50, B: 200, C: 100, D: 5) are all greater than 1, which means it is possible to estimate the mean of a population from the mean and standard deviation of a sample of that population using each of these sample sizes. Therefore, the correct answer is D. Cannot be determined, as the question seems to lack context regarding the inability to estimate the population mean. However, generally, larger sample sizes tend to provide a more accurate estimate of the population mean, assuming that the samples are drawn randomly and the population is normally distributed or the sample size is large enough for the central limit theorem to apply.