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mylen
18 days ago
5

An assistant to the mayor, who claims to understand statistics, complains about your confidence interval calculation. She assert

s that the dollar losses from burglaries are not normally distributed, which in turn makes the confidence interval calculations meaningless. Assume that she is correct about the distribution of money loss. Why are the calculations of a confidence interval still appropriate? According to the central limit theorem any distribution is considered normal if n is greater than ____. This sample is 500 so the distribution of the sample means will be normal, no matter what the shape of the actual distribution of dollar losses.
Business
1 answer:
harina [3.2K]18 days ago
4 0
The central limit theorem indicates that as the size of a sample increases, the distribution of sample means approaches a normal distribution, irrespective of the population’s original shape. Typically, this is valid when the population size, denoted as n, is 30 or more (which means greater than 29). The population’s skewness or normality is not a factor in this scenario. Therefore, with a sufficiently large group, the mean results from sampling will equal the population mean.
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