One-Sided Tolerance Limits for a Normal Distribution

It has been said that because of the limited number n of data in a sample that represent just a fraction of the entire population, the true mean li and the standard deviation A cannot be assessed, but just estimated. It has been shown in Sect. 4.2.1 that when the true mean fi is not known, but the standard deviation A is available 

known as Owen factors. These last factors are tabulated in Table 4.7. 

From a comparative reading of Tables 4.6 and 4.7 two elements emerges  

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