1) Using the data in the file named Chapter 11 Data set 2, test the research hypothesis at the .05 level of significance that boys raise their hands in class more often than girls. solve this problem by hand, using a calculator. What is your conclusion regarding the research hypothesis? Remember to first decide whether this is a one-or two tailed test.

a) X_{1 = 62} X_{2 =60} n_{1 =10} n_{2 =10} s_{1 =2.45} s_{2 =3.16}

b) X_{1 = 158} X_{2 =157.4} n_{1 =22} n_{2 =26} s_{1 =2.06} s_{2 =2.59}

c) X_{1 = 200} X_{2 =198} n_{1 =17} n_{2 =17} s_{1 =2.45} s2 =2.35

2) Using the same data set (Chapter 11 Data set 2), test the research hypothesis at the .01 level of significance that there is a difference between boys and girls in the number of times they raise their hands in class. Solve this problem by hand, using a calculator. What is your conclusion regarding the research hypothesis? You used the same data for this problem as for question 1, but you have a different hypothesis (one is directional and the other is non directional. How do the results differ and why?