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. 

Suppose the state decides to randomly test high school wrest…

Suppose the state decides to randomly test high school wrestlers for steroid use. There are 16 teams in the league, and each team has 20 wrestlers. State investigators plan to test 32 of these athletes by randomly choosing two wrestlers from each team. Is this a simple random sample? 

A researcher identified 100 men over forty who were not exer…

A researcher identified 100 men over forty who were not exercising and another 100 men over forty with similar medical histories who were exercising regularly. She followed all the men for several years to see if there was any difference between the two groups in the rate of heart attacks. This is a(n) …