Researchers interested in human focus will often give test subjects an endless list of boring problems (e.g., What is 2 + 13? What letter comes after Q in the alphabet?) and count how many problems it takes before they break focus and get a question wrong. For example, if you get 7 questions correct and then mess up, your count-til-failure is 8. Naturally, this count-til-failure will vary from

one person to the next. Suppose that extensive experiments have found that unaltered test subjects have an average count-til-failure of 11.3 questions with a standard deviation of 4.2 questions.

(a) A new drug, Focusizil, has come to market that doubles each person's count-til-failure. What are the average and standard deviation for the count-to-failure of test subjects while on this drug? [WISE]

(b) Another drug, Extendaron, allows an individual to get 11 more questions correct than they normally would. What are the average and standard deviation for the count-to-failure of test subjects while on this drug (and not Focusizil)? [WISE]

(c) The news media has been arguing over which drug a person should take, since the drugs can't both be taken. Give an argument in support of each drug using your results from a and b.