A misalignment limit (ΔxA) is given.

Your loggers will be kept within tolerance while removing hassle from the equation.

For example, if α = 0.10 and P = 0.85, then the resulting interval is called a two-sided (90% , 0.85) tolerance interval.

Larger values can result in a tolerance interval that covers a much larger percentage of the population than the target, p%.

If L and U are one-sided (1 – α/2 , (1 + P )/2) lower and upper tolerance bounds, then [ L, U ] is an approximate two-sided (1 – α, P ) tolerance interval.

A tolerance interval is generally calculated to estimate the spread of data for a proportion (p) of the population covered with a confidence level (c) of x%.

If a tolerance interval is not sufficiently precise, it can be too wide and include a much larger percentage of the population than you specify.

Then, the interval [L, U] is a two-sided tolerance interval with content = P x 100% and confidence level = 100(1 – α)%.

Then, the interval [L, U] is a two-sided tolerance interval with content = P x 100% and confidence level = 100(1 – α)%.

If a tolerance interval is not sufficiently precise, it can be too wide and include a much larger percentage of the population than you specify.