What effect does decreasing the sample size have on a distribution of sample means? a) It will have more variation b) It will not make any difference cIt will have less variation

c) It will have less variation.

Decreasing the sample size will generally result in more variation in the distribution of sample means. This is because with a smaller sample size, there is less information available to estimate the population mean, which means that the sample mean will be less precise and will vary more from one sample to the next.

For example, if you take a sample of 10 individuals from a population and calculate the mean of their heights, the sample mean will likely be a good estimate of the population mean height. However, if you take a sample of just 2 individuals and calculate the mean of their heights, the sample mean will be less precise and will be a less reliable estimate of the population mean height. This is because the sample of 2 individuals may not be representative of the overall population, and the sample mean will be more influenced by extreme values or outliers.

In general, as the sample size decreases, the distribution of sample means will become more spread out and will have more variation. This is because with a smaller sample size, there is more uncertainty about the population mean, and the sample means will be more likely to deviate from the true population mean.

less variation.distributionof sample means. This is because with a smaller sample size, there is less information available to estimate the population mean, which means that the sample mean will be less precise and will vary more from one sample to the next.populationand calculate the mean of their heights, the sample mean will likely be a good estimate of thepopulationmean height. However, if you take a sample of just 2 individuals and calculate the mean of their heights, the sample mean will be less precise and will be a less reliable estimate of the populationmeanheight. This is because the sample of 2 individuals may not be representative of the overall population, and the sample mean will be more influenced byextreme valuesor outliers.distributionof sample means will become more spread out and will have morevariation. This is because with a smaller sample size, there is more uncertainty about the populationmean, and the sample means will be more likely to deviate from the true population mean.mean,visit: