At a plant that makes structural assemblies, two steel beams (a left beam and a

Question

At a plant that makes structural assemblies, two steel beams (a left beam and a right beam) are connected with a steel coupling to create a new assembly. The total length of the new assembly is the sum of the lengths of the two beams and the coupling. The left beams have a mean length of 360 inches with a standard deviation of 2 inches. The right beams have a mean length of 240 inches with a standard deviation of 1.5 inches. The couplings have a mean length of 24 inches with a standard deviation of 0.8 inches. Find the mean length and standard deviation of the new assemblies.

Explanation / Answer

Left beam Right beam Coupling Total Mean(inches) 360 240 24 624 Std dev 2 1 1/2 4/5 Variance 4      2 1/4 16/25 6 81/91 Std dev assmbly 2.624881

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