A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. Before: 74, 83, 75, 88, 84, 63, 93, 84, 91, 77
After: 73, 77, 70, 77, 74, 67, 95, 83, 84, 75

Required:
a. Is there evidence to suggest the logic course improves abstract reasoning?
b. Construct a 95% confidence interval for the mean difference between the before and after scores.

Which of the following represents the range of the graph of f(x) below

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv

Finding tbe values of the variables in each kite