Tolerance intervals are used to find where a given percentage of the population can be expected to be found. For example, we could use a small sample taken from a population of results to inform us about where we can expect to find 95 percent of the population. Further, we can specify that we are 95 percent confident that 95 percent of the population would be found within the stated interval.

Here, we will use the tolerance interval tool to find the interval in which we expect a percentage of the population to be found. We have investigated capability with the fill weights of syringe volumes in the previous recipes of this chapter.

Summarized results for means, sample size, and standard deviation are supplied. From these, we want to know where we could expect to find 99 percent of the population of syringe fill volumes with a 95 percent confidence interval. From a recent trial, 30 samples were taken, and these had a mean of 15.15 and a standard...