sample=500

1. Using the Normal model estimate the proportion of participants in this sample who would be expected to have a BMI of 42 kg/m² or more.
2. Suppose you calculated the mean BMI separately for each of the 50 weeks of the Mumble data set. Using the Central Limit Theorem (CLT) describe the expected distribution of these sample means. Explain why the Central Limit Theorem CLT applies.
3. Using the distribution described in part e), estimate the probability that a weekly mean BMI would exceed 35 kg/m² in the Mumble hospital data set