The following is a Cayley table for a group G. 2.5.4 = 2| 1 2 3 4 1 3 4 1 3 4 1 2 3 3 4 1 4 1 2 1 3 4 5 4 1 2 3 2

The group table of a group G is shown below. df g h h b e a b C d b C b a e h 9 b f e h g f e h g f d e a e C d a ff b C d 9 9 C h h d a C The subset J = a b dfg f d 9 h e a b C a 9 b h с e C d a b h C d a e e f f g {e, b} is a subgroup of G. (a) List all the distinct left cosets and all the distinct right cosets of J in G. (b) State whether J is normal in G, briefly justifying your answer.

Variable } Group 3.. .. d. Example 2 Group 2 Group 1- Group 3• Example 1 Group 2- I.. Group 1 10 20 30 50 60 40 The following is the dotplots of two examples of 3 groups each a) With regards to Sum of Squares Among Groups, SSA, which of the following is the correct statement? O A. SSA for Example 2 is larger than that of Example 1. O B. SSA for Example 1 is larger than that of Example 2. O C. SSA for Example 1 is about the same as that of Example 2. O D. There is not sufficeient infomation to evaluate SSA. b) With regards to Sum of Squares Within Groups, SSW, which of the following is the correct statement? O A. SSW for Example 1 is larger than that of Example 2. B. SSW for Example 1 is about the same as that of Example 2. OC. There is not sufficeient infomation to evaluate SSW. CCIW for Cvnmnle ? in loraor than that of Cunmnle 1

Under what conditions will you have a negative degrees of freedom? A. If you have unequal groups B. If you subtract the group with the larger N from the group with the smaller N C. If you do a one group T test D. It is imposible to have a negative value for the degrees of freedom