Two simple random samples are drawn from the same population using identical sampling procedures. The first sample has a sample mean of 215.3872 and n = 500. The second sample has a sample mean of 215.0 and n = 1000. The mean of which sample is more likely to be closer to the true population mean? Why?
A) The mean of the first sample is more likely to be closer to the true population mean because it has a smaller standard error due to its larger sample size.
B) The mean of the second sample is more likely to be closer to the true population mean because it has a larger sample size.
C) Both sample means are equally likely to be close to the true population mean because they are drawn from the same population.
D) Neither sample mean is likely to be close to the true population mean because they are random samples.
