A piece of plywood is composed of five layers. The two outer layers are veneers with thickness 0.50 ± 0.02 mm, and the three inner layers each have thickness 6.25 ± 0.05 mm. Assume the thicknesses of the layers are independent. Estimate the thickness of the plywood and its uncertainty.
What will be an ideal response?
Let 
represent the estimated thicknesses of the outer layers, and let 
represent the estimated thicknesses of the inner layers. Then
for i = 1,2, and 
= 0.05 for j = 1,2,3.
The estimated thickness of the item is 
.
The uncertainty in the estimate is 
.
The thickness is 19.75 ±0.09 mm.
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