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SAMPSIZE_mu_sp08 - 5.6 Determining Sample Size to Estimate...

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5.6 Determining Sample Size to Estimate μ
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Required Sample Size To Estimate a Population Mean μ If you desire a C% confidence interval for a population mean μ with an accuracy specified by you, how large does the sample size need to be? We will denote the accuracy by SE, which stands for S ampling E rror.
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Example: Sample Size to Estimate a Population Mean μ Suppose we want to estimate the unknown mean height μ of female students at NC State with a confidence interval. We want to be 95% confident that our estimate is within .5 inch of μ How large does our sample size need to be?
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Confidence Interval for μ = ± ± - - n s t n s t x SE x n n * 1 * 1 SE so is for interval confidence The as expressed be can for CI the SE, error sampling the of In terms μ μ
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Good news: we have an equation Bad news: 1. Need to know s 2. We don’t know n so we don’t know the degrees of freedom to find t * n-1 2 * 1 * 1 gives which SE : n for equation this
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