This is to be expected because larger the sample size, the more accurately it is expected to mirror the behavior of the whole group.īeside above, is Mean affected by sample size?Ĭenter: The center is not affected by sample size. Why does a larger sample size increase accuracy? Higher sample size allows the researcher to increase the significance level of the findings, since the confidence of the result are likely to increase with a higher sample size. The central limit theorem states that when an infinite number of successive random samples are taken from a population, the sampling distribution of the means of those samples will become approximately normally distributed with mean μ and standard deviation σ/√ N as the sample size ( N) becomes larger, irrespective of Keeping this in view, what is the shape of the sampling distribution of the means if random samples of size n become larger? Thus as the sample size increases, the standard deviation of the means decreases and as the sample size decreases, the standard deviation of the sample means increases. The population mean of the distribution of sample means is the same as the population mean of the distribution being sampled from.
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