In: Statistics and Probability
For questions #3-11, refer to the following: Teacher evaluations, 1=poor and 10=excellent are represented below for 3 teachers of the same subject. Use α = 5% to determine if the teacher's evaluations are the same or different.
teacher #1: 10, 8, 9, 9, 8, 7, 5, 8
teacher #2: 9, 8, 8, 7, 7, 6, 7, 6, 5
teacher #3: 7, 8, 6, 5, 6, 10, 8
#3) What is the value for SSW?
a. |
35.85 |
|
b. |
30,018.86 |
|
c. |
1310.14 |
|
d. |
44.86 |
|
e. |
52.78 |
What is the value for SSB?
a. |
44.86 |
|
b. |
1253.68 |
|
c. |
1310.66 |
|
d. |
19.58 |
|
e. |
4.77 |
What is the value for MSW?
a. |
-1.13 |
|
b. |
2.14 |
|
c. |
1429.47 |
|
d. |
2.24 |
|
e. |
1247.79 |
What is the value for MSB?
a. |
626.84 |
|
b. |
.59 |
|
c. |
2.39 |
|
d. |
416.89 |
|
e. |
2.57 |
What is the value for F?
a. |
1.56 |
|
b. |
-1.92 |
|
c. |
2.28 |
|
d. |
2.99 |
|
e. |
1.12 |
What is the degree of freedom for the numerator?
a. |
2 |
|
b. |
1 |
|
c. |
21 |
|
d. |
24 |
|
e. |
3 |
What is the degree of freedom for the denominator?
a. |
21 |
|
b. |
2 |
|
c. |
20 |
|
d. |
3 |
|
e. |
24 |
What is the critical value for this ANOVA test?
a. |
3.47 |
|
b. |
2.36 |
|
c. |
3.82 |
|
d. |
4.87 |
|
e. |
1.12 |
What is the conclusion to this ANOVA test?
a. |
Accept Ho : the means of the categories are the same |
|
b. |
Accept Ho : the means of the categories are significantly different |
|
c. |
Reject Ho : the means of the categories are significantly different |
|
d. |
Reject Ho : the means of the categories are the same |
|
e. |
Accept H1 : the means of the categories are significantly different |