"Assume company has received order for 100,000 assemblies each consisting of..."

jtstien

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Combining standard deviation from two models

How do I combine the std deviation values and mean values given in the below problem to make one data set to use for my model? See below for the problem, any help would be greatly appreciated!

Assume that your company has received an order for 100,000 assemblies each consisting of two subassemblies. The two subassemblies are assembled end-to-end to create an assembly that is to be 3,000 mm in length with a lower specification limit of 2,995 mm and upper specification limit of 3,003 mm. Your company has two machines to make these subassemblies. Machine A makes Subassembly A. Measurements of Machine A found that the subassemblies produced had a mean length of 1,000 mm with a standard deviation of 3 mm. Machine B makes Subassembly B. Measurements on Machine B have found it makes parts with a mean of 2,002 mm and a standard deviation of 2 mm. The order is for 100,000 assemblies.

Answer the following questions.
Given the current situation, if 100,000 assemblies are manufactured, how many will not meet the specifications?
 
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