practice-midterm_LQ_solutions_summer2020.pdf - Suggested...

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Suggested Solutions: Practice Midterm Long QuestionsSummer 2020/21 Term 2Part 1a) The conditional distribution of gender among applicants who are admitted:MaleFemaleTotal177177354(50%)(50%)(100%)b) This is Simpson’s Paradox. When we take into account the department, the direction of asso-ciation (admission rates of the 2 gender groups) is reversed.Part 2After adding the observation of the country, the linear pattern becomes weakened. Hence the corre-lation coefficient will decrease, but the value will still be positive (the linear trend remains positive).35404550556065cigarette smoking (%)marijuana smoking (%)5101520253035New Observation(68%, 15%) Part 3The 2 run times differ by 50 seconds (run = 50, i.e., 1SDx) so the predicted max oxygen intakeshould dffier byr*SDy=-0.56(4) =-2.24.Hence, you would predict your friend’s maximum oxygen uptake to be2.24mL/(kg×minutes)belowyour maximum uptake during the run.1
Part 4Event A: The chosen graduate has an aanual salary under \$20k.