1. Suppose the following table summarizes the BMI for a population of 8 participants in a weight loss program: Participant BMI A 32.6 B 31.7 C 26.8 D 29.3 E 25.4 F 33.2 G 29.4 H 26.9

Question: BMI of 30 is considered obese. Assume that this population follows a normal distribution. What proportion of women is obese? (Please show correct probability corresponding to this z-score, then use the complement rule.)

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2. The SAT and ACT are standardized tests for college admission in the United States. Both tests include components that measure reading comprehension. Suppose that SAT critical reading scores are Normally distributed with a mean of 510 and standard deviation of 115. In contrast, ACT reading scores are Normally distributed with a mean of 20.5 and standard deviation of 5.

Question: Sam takes the SAT reading test and scores 660. Dave takes the ACT test and scores 28. Who had the superior score, Sam or Dave? (Hint: Standardize Dave's and Sam's scores and compare the probabilities.)