What are the factors that determine the sample size? How is sample size calculated for estimating the population mean? Provide examples.

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Three factors are used in the sample size calculation and thus, determine the sample size for simple random samples. These factors are: 1) the margin of error, 2) the confidence level, and 3) the proportion (or percentage) of the sample that will chose a given answer to a survey question.

Suppose it is of interest to estimate the population mean, ?, for a quantitative variable. Data collected from a simple random sample can be used to compute the sample mean, x?, where the value of x? provides a point estimate of ?.When the sample mean is used as a point estimate of the population mean, some error can be expected owing to the fact that a sample, or subset of the population, is used to compute the point estimate. The absolute value of the difference between the sample mean, x?, and the population mean, ?, written |x? ? ?|, is called the sampling error.

orchestra answered 1 year ago

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