When holding everything else constant, as sample size increase, it Decreases standard error, increases the magnitude of the t-statistic, and increases the degrees of freedom.
The sampling distributions get closer to a normal distribution as sample numbers rise. The sampling distribution's mean equals the population mean with "infinite" numbers of subsequent random samples .Each sampling distribution's variability diminishes as sample size rises, making the distributions more and more leptokurtic. The sample distribution's range is less than the original population's range.
Together, these distributions imply that the sample mean gives a reliable estimation of the population mean and that estimation errors decrease with increasing sample size.
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