QUESTION 12 An instructor of LEGO Robotics at MIT stated that the mean score in the course is greater than 82.4. A graduate assistant wants to test the instructor's claim and pulls a random sample of 52 students. The random sample has a mean of 83.9 and a standard deviation of 7.2. Based upon a 5% level of significance the graduate assistant states that they will fail to reject the null. Assume the population is normally distributed.

Interpret your decision in the context of the original claim.

In order to receive credit on this question, explain why you wrote the conclusion the way you did.

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."

Issof claims that the scale factor is 1/2. which statement about his claim is correct

Suppose sat writing scores are normally distributed with a mean of 497 and a standard deviation of 109. a university plans to award scholarships to students whose scores are in the top 2%. what is the minimum score required for the scholarship? round your answer to the nearest whole number, if necessary.