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Double slit experiment

I can't understand the relation between Schrödinger's Cat and this amazing experiment of the double slit. It seems like in the double slit we know if we observe the particle the wave function ...
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Test for Many Worlds Hypothesis

If one actually ran an experiment similar to the Schrodinger's cat thought experiment, and ran it enough times (with the same cat) to get the confidence interval good enough, could one say that ...