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In: Statistics and Probability

For questions #3-11, refer to the following: Teacher evaluations, 1=poor and 10=excellent are represented below for...

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

Solutions

Expert Solution

orchestra answered 2 years ago
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