Height and weight Suppose that both height and weight of adu…

Height and weight Suppose that both height and weight of adult men can be described with Normal models, and that the correlation between these variables is 0.65. If a man’s height places him at the 60th percentile, at what percentile would you expect his weight to be? 

A headline in the New York Times announced “Research shows r…

A headline in the New York Times announced “Research shows running can alter one’s moods”. The article reported that researchers gave a Personality Assessment Test to 231 males who run at least 20 miles a week, and found “statistically significant personality differences between the runners and the male population as a whole.” Do you think the headline was appropriate? Explain. 

Among a dozen eggs, three are rotten. A cookie recipe calls…

Among a dozen eggs, three are rotten. A cookie recipe calls for two eggs; they’ll be selected randomly from that dozen. Which simulation plan could be used to estimate the number of rotten eggs that might be chosen?  I. Let 0, 1, and 2 represent the rotten eggs, and 3, 4, …, 11 the good eggs. Generate two random numbers 0-11, ignoring repeats.II. Randomly generate a 0, 1, or 2 to represent the number of rotten eggs you get.III. Since 25% of the eggs are rotten, let 0 = rotten and 1, 2, 3 = good. Generate two random numbers 0-3 and see how may 0’s you get.