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StatsToDo : Sample Size for Estimating Population Mean Explanations and Table

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Related link :
Sample Size Introduction and Explanation Page
Sample Size for Population Parameters Explanation Page
Sample Size for Population Mean Program Page

This page provides a table for samples size needed to establish the value of population mean. The table consists of 5 columns.
  • The first (in bold) is the ratio of the tolerable error and the expected Standard Deviation of the population. To put in in another way, the tolerable error in Standard Deviation (z) units.
  • The seconf to the fifth column are the sample size required for estimating population means to 90%, 95%, 99%, and 99,5% Confidence Intervals
  • For example, to have 95% confidence interval that the mean will fall within the range of ± a fifth of the expected Standard Deviation (ER/SD=0.20), the sample size required is 99
ER/SDSample Size ER/SDSample Size
 CI=90%CI=95%CI=99%CI=99.5%  CI=90%CI=95%CI=99%CI=99.5%
0.026789962016624196040.041701240441424922
0.067541066184721890.0842560210421237
0.12723866667930.12190269464551
0.141411993424070.16107153263312
0.18871212092480.27099170201
0.2258821411670.244870119141
0.2643601021210.28385389105
0.3334577920.3228406882
0.34253563730.3623335565
0.38203050590.418284553
0.42182543500.4415233845
0.46152035430.4813203338
0.5131830350.5213182833
0.54131528330.5610152530
0.58101323280.610132328
0.6281323250.648132023
0.6681320230.688101823
0.781018200.728101820
0.7481015180.768101518
0.788815180.8881518
0.828813180.84581315
0.865813150.88581315
0.95813150.92581313
0.945813130.96581013
0.98581013

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