The Greek Council is comparing the mean GPAs of four sororities on campus. The GPAs for 10 girls in each sorority are given in the following table. Based on these data, can you conclude that there is a difference between the mean GPAs for these four sororities? Use a 0.05 level of significance.
Sorority GPAs
|
ΛΧΒ
|
ΩΣ
|
ΘΠ
|
ΔΜΟ
|
2.5
|
3.1
|
2.7
|
3.1
|
3.4
|
3.4
|
2.9
|
3.2
|
4.0
|
3.6
|
2.8
|
3.1
|
3.8
|
3.6
|
2.8
|
3.1
|
2.7
|
3.7
|
2.9
|
2.9
|
2.8
|
3.0
|
3.1
|
3.1
|
2.8
|
4.0
|
2.9
|
3.0
|
3.2
|
3.9
|
2.7
|
3.3
|
3.1
|
4.0
|
2.6
|
2.7
|
3.9
|
3.4
|
3.3
|
2.6
|