{"blocks": [{"key": "cbb51e9b", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "5bda210c", "text": "You are analyzing the distribution of user comments per post on a social platform to report key statistical properties to product managers.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "8e42cedf", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "1fe78fb0", "text": "Explain how the Central Limit Theorem applies when sampling average comments per user. Define and compute the expected value of the number of comments across all users. Differentiate population standard deviation from sample standard deviation in this context. Construct a 95% confidence interval for the mean number of comments.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "4ad2f936", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "23cd5405", "text": "Link CLT to sample mean; use E[X]=μ; σ vs. s; CI = x̄ ± 1.96*s/√n.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}