A parent believes that the average height for 14 year old girls differs from that of 14 year old boys. The summary data are listed below where height is in feet: the sample mean of 5.1 and the population standard deviation of 0.2 based on a random sample of size 40 from 14 year old girls. What are the point estimate and the margin of error with 95% confidence level?

Pete is making decorations for a dinner party. the instructions tell him to use 9 flowers for a medium-sized decoration. complete each statement to adjust the flowers for different-sized decorations based on these instructions.

Find the greatest common factor of -30x 4 yz 3 and 75x 4 z 2.

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."