What happens to the shape of sampling distribution of sample means as increase?In other words, as the sample size increases, the variability of sampling distribution decreases. Also, as the sample size increases the shape of the sampling distribution becomes more similar to a normal distribution regardless of the shape of the population. Show
How does sample size affect shape of distribution?As the sample sizes increase, the variability of each sampling distribution decreases so that they become increasingly more leptokurtic. The range of the sampling distribution is smaller than the range of the original population.
What is the shape of the sampling distribution of a sample mean when the sample is taken from a normally distributed population?Whereas the distribution of the population is uniform, the sampling distribution of the mean has a shape approaching the shape of the familiar bell curve. This phenomenon of the sampling distribution of the mean taking on a bell shape even though the population distribution is not bell-shaped happens in general.
How does the shape and spread of the sampling distribution change as the sample size increases?Shape: as the sample size increases, the shape of the sampling distribution gets closer and closer to a bell-shaped curve.
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