In a study, researchers wish to understand the difference
between four training programs to train individuals for a new task.
Twelve subjects with similar ability were randomly selected from
several health departments in Ohio. Training programs were randomly
assigned to the twelve subjects so that each program has three
subjects. The evaluations on proficiency of these twelve subjects
in performing this new task were recorded as in the following
table. The higher the score the better the performance.
| Program 1 |
Program 2 |
Program 3 |
Program 4 |
| 23 |
34 |
16 |
17 |
| 25 |
38 |
23 |
20 |
| 26 |
31 |
24 |
21 |
If the Kruskal-Wallis test is used for testing whether there is
statistically significant difference between the 4 programs based
on the scores above, which of the following is(are) correct
statement(s)? (There may be more than one correct answer.)Question
10 options:
|
|
A)
|
Statistically, there is no
significant difference between the mean scores at 5% level of
significance. |
|
|
|
B)
|
Statistically, there is no
significant difference between the mean scores at 1% level of
significance. |
|
|
|
C)
|
Statistically, there is significant
difference between the mean scores at 5% level of
significance. |
|
|
|
D)
|
Statistically, there is significant
difference between the mean scores at 1% level of
significance. |
|
|
|
E)
|
Statistically, there is no
significant difference between the mean scores at 10% level of
significance. |
|