Peruiy, a third grade teacher, has just returned from a teaching conference where she learned about a new teaching method that is predicted to increase retention of new information dramatically. Peruiy decides to test to see if the new teaching method she learned works. To test the new teaching method Penny teaches using the old method for a week and then gives a test for retention and then teaches using the new method the following week and gives a retention test. There are 10 students in her class. Penny is not sure if the new method will help or hinder her students. a. What type of ttest would you use to see if the new teaching style had a significant effect? b. What are the statistical hypotheses for this hypothesis (He wants to see a teaching style improves retention of new information)? H0: H1: c. Given the following data compute the ttest. Old Method New Method D D2 30 42 2E- 29 33 1? 31 26 35 35 21 31 25 22 37 4f} 16 18 24 27 2X1 EX: 2'3 2'32 d. \"That are the degrees of freedom for problem 2? e. What is the critical value to test problem ones hypothesis? f. What can you conclude about the effectiveness of Penny's new style of teaching