True, as sample size n becomes large, sample mean of a sample from a population is the same as the population mean.
<h3 /><h3>What is Sample mean?</h3>
The statistic known as the sample mean is created by arithmetically averaging the values of a variable in a sample. The sample mean is an estimator of the expected value if the sample is taken from probability distributions with a common expected value.
The sample mean of a population sample approaches the population mean as sample size n increases.
A sample that is more representative of the population and that has a bigger size is also a better sample to employ for statistical analysis. Even if the difference between the experiment and control group is lower as the sample size increases, it is simpler to spot the difference.
In other words, The sampling distribution's mean equals the population mean when there are "infinite" numbers of subsequent random samples taken at random. Each sampling distribution's variability diminishes as sample size rises, making the distributions more and more leptokurtic.
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