Statisics measurements

Question

Thickness measurements of a coating process are made to the nearest hundreth of a millimeter. The thickness measurements are uniformly distrubuted with values 0.13, 0.14, 0.15, 0.16, 0.17. Determine the mean and variance of the coating thickness for this process. Rounded 4 decimal places.

Answer 1

Hi Al,

The mean of a uniform distribution is given by: (min+max)/2.

In this case:

(0.13+0.17)/2= 0.15

The variance is given by:

((max-min)^2)/12

So:

((0.17-0.13)^2)/12=1.333×10^-4 or 0.0001