I have created a spreadsheet that allows the user to calculate the number of samples needed for a desired one-sided tolerance interval at a desired confidence level. Additionally, the user can also enter the desired order for the sample size.
For example, if you have 93 samples, you can be 95% confident that 95% of the population are above the 2nd lowest value samples. Alternatively, you can also state that 95% of the population is below the 2nd highest value of the samples.
Here is an example of this in use.
If there is an interest, I can also try creating a two sided tolerance interval spreadsheet as well.
The keen student might notice that the formula is identical to the Bayes Success Run Theorem when the order p =1.
The spreadsheet is available for download here. Wilks one sided
Keep on learning…