The assumption that the sample means follow a roughly normal distribution is used to calculate a confidence interval for a population mean with a known standard deviation.
The degree of confidence affects the margin of error (EBM) (abbreviated CL). The possibility that the estimated confidence interval estimate will include the genuine population parameter is frequently referred to as the confidence level. However, it is more correct to say that the confidence level, when repeated samples are obtained, is the percentage of confidence intervals that contain the true population parameter. A confidence level of 90% or higher is typically chosen by the person creating the confidence interval because they want to be reasonably certain of their conclusions.
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