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Chapter_8_Formulas

# Chapter_8_Formulas - CHAPTER FORMULAS For the case of a...

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Unformatted text preview: CHAPTER FORMULAS For the case of a sample mean estimating a population mean: SamplingError= |i—u| (8.1) Margin of Error = Zn” .0; Interval Estimation of a Population Mean 1. Large samples (n 3 30) A. When the standard deviation of the population a is known, - a p=xiZdrﬁ (8.2) the standarderrorofthe mean is cr— =1 x J; B. When the standard deviation 0' is unknown, the sample standard deviation S is used to approximate 0, therefore the equation becomes 1 J3 thestandardermrofthemeanis S— :1 " JR 1; £12m. (8.3) II. Small samples (n < 30) A. When the population has a normal probability distribution and the standard deviation of the population a is known, use _ O' p=xizdzfﬁ (8'4) B. When the population has a normal probability distribution and the standard deviation of the population 0 is unknown, use _5_ Jr? 1.: =;itm. (8.5) CHAPTER FORMULAS (continued) Sample Size for an Interval Estimate of a Population Mean 2. 2 “=% (8.6) where E = the size of the sampling error Interval Estimation of a Population Proportion _ _1__ p =Pizm ‘Jl (8-9) the standard error of proportion is S; = Sample Size for an Interval Estimate of a Population Proportion 2 H=W (310) E2 If the value of p in equation 8.10 is not known and a good estimate of p is not available, use p=0.50. ...
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Chapter_8_Formulas - CHAPTER FORMULAS For the case of a...

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