Aprofessor of statistics wants to test that the average amount of money a typical college student spends per day during spring break is over $70. the population standard deviation is assumed to be $17.32. the professor surveys 35 students and finds that the mean spending is $72.43. develop the test and analyze the results.

When ∆rst is translated 4 units down, what are the apparent coordinates of t’? give 15 points

Which of the following is the missing term, a2, of the geometric sequence in which a1=2 and a3=200

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."