teacher wanted to compare two methods for teaching math.He randomly divided the class in half.Half the class was given the standard method first, followed by the new method.The other half was given the two methods in the opposite order.The results of tests given after each of the two methods are shown in the following table:

Number Standard Method New Method

1 80 82

2 78 79

3 65 75

4 92 100

5 85 85

6 60 61

7 64 60

8 82 80

9 90 92

10 78 86

11 70 79

12 85 90

13 86 80

a.State the nondirectional alternative hypothesis.

b.State the null hypothesis.

c.Usinga= 0.052 tail, what do you conclude?

d.What type of error might you be making?