An educator was interested in "cooperative play" versus "competitive play" activities as they might influence the ability of 5th grade students to make friends with their classmates. Specifically, the educator speculates that there will be a difference between the two conditions that will foster the acquisition of more friends, but the educator is not sure which way the difference will go. On a random basis, the educator divided a class of twenty 5th graders into two different styles of "play" activities at recess: a cooperative play group of ten children in which students relied on one another in order to get "team" recess activity points; and a competitive group of ten children in which students worked individually to outperform their classmates to get recess activity points. The data are presented below, and represent the number of classmates chosen by students as their friends at the end of the semester.

Competitive Group Cooperative Group

X1 X2

3 6

4 7

5 4

4 3

1 6

1 9

8 10

3 4

4 6

2 9

Which of the following are the correct statements of the null and alternate hypotheses, H0and HA?

H0: 1 = 2 and HA: 12

H0: 12 and HA: 1 = 2

H0: 1 > 2 and HA: 12

H0: 12 and HA: 1 > 2

H0: 1 < 2 and HA: 12

H0: 12 and HA: 1 < 2