10. A school principal is interested in a new method for teaching eighth-grade social studies, which he believes will increase the amount of material learned. To test this method, the principal conducts the following experiment. The eighth-grade students in the school district are grouped into pairs based on matching their IQs and past grades.

Twenty matched pairs are randomly selected for the experiment. One member of each pair is randomly assigned to a group that receives the new method, and the other member of each pair to a group that receives the standard instruction. At the end of the course, all students take a common fi nal exam. The following are the results:

a. What is the alternative hypothesis? Use a directional hypothesis.

b. What is the null hypothesis?

c. Using 0.051 tail, what is your conclusion?

d. What error might you be making by your conclusion in part c?

e. To what population does your conclusion apply?
education

New Standard Pair No. Method Instruction 15 983 25 768 3 3 780 45 882 5 8 784 66 878 73 985 88 882 95 784 10 84 68 11 72 81 12 84 91 13 75 72 14 87 81 15 94 83 16 82 87 17 70 65 18 84 76 19 72 63 20 83 80