A data scientist is investigating the duration of sessions, SSS, on a new mobile application. The underlying distribution of SSS is heavily skewed towards shorter sessions and is certainly not normal, though it possesses a finite mean μ\muμ and a finite standard deviation σ\sigmaσ. For a large random sample of nnn sessions, the scientist utilizes the Central Limit Theorem to approximate the distribution of the sample mean session duration, Sˉ\bar{S}Sˉ.
Formulate the Central Limit Theorem in this specific context, explicitly stating the parameters of the resulting distribution and all conditions that must be satisfied for this approximation to be valid.
