An SRS of 100 flights by Falcon Airlines shows that 82 were on time. An SRS of 100 flights by WinterSoldier Airlines shows that 68 were on time. Let Pn be the proportion of on-time flights for all Falcon Airline flights, and let Pw be the proportion of all on-time flights for all WinterSoldier flights. A 95% confidence interval for the difference Pn-Pw is:

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."