Question

A chemical process is modeled as

x = 2a² + b² + ac

a) Find the expected uncertainty u_{x_RSS} for this process as a function of the uncertainties in a, b, and c, ?_a, ?_b and ?_c, respectively.

b) After collecting 250 measurements, you estimate that a = 3.02 ± 0.272, b= 1.11 ± 0.427 and c = 12.2 ± 1.23. The data is reported as mean ± 1 standard deviation. What is the expected uncertainty in the process x at the 95% confidence level?

Answer 1