On experiments with cognitive systems to find quantum-like statistical structure

We describe cognitive experiments (based on interference of probabilities for mental observables) that could verify quantum-like structure of mental measurements. In principle, such experiments can be performed in psychology, cognitive, and social sciences. Recently one of such experiments (described in the previous version of the preprint) based on recognition of images was performed. It confirms our prediction on quantum-like behaviour of mind. In fact, the general contextual probability theory predicts not only quantum-like trigonometric (cos θ) interference of probabilities, but also hyperbolic (cosh θ) interference of probabilities. In principle, statistical data obtained in experiments with cognitive systems can produce hyperbolic (cosh θ) interference of probabilities. At the moment there are no experimental confirmations of hyperbolic interference for cognitive systems.