Three sections of the same highschool mathematics course are taught by three teachers. The final grades were recorded as follows: A 88, 78, 48, 91, 51, 85, 74, 77, 31, 78, 62, 76, 96, 80, 56 73, 89, 82, 43, 80, 73, 66, 60, 45, 93, 36, 77 68, 79, 56, 91, 71, 71, 87,,41, 59, 68, 53, 79, 15 TEACHER В C

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Three sections of the same highschool mathematics course are taught by three
teachers. The final grades were recorded as follows:
A
В
TEACHER
C
88, 78, 48, 91, 51, 85, 74, 77, 31, 78, 62, 76, 96, 80, 56
73, 89, 82, 43, 80, 73, 66, 60, 45, 93, 36, 77
68, 79, 56, 91, 71, 71, 87,41, 59, 68, 53, 79, 15
Is there a significant difference in the average grades given by the three teachers? Use
a a = 0.05 level of significance.
HYPOTHESIS
Но:
На:
Test at a= 0.05
Critical Region: F >.
at v1 =
V2 =
ASSUMPTIONS
1. The populations from which the samples are taken have a normal distribution.
2. The populations have the same variance or standard deviation
3. The samples have randomly-picked members and that the samples are
independent of each other.
CALCULATIONS:
Source of
Variation
Degrees of
Freedom
Sum of Squares
(S)
Mean squares
(MS)
F
Treatments
Errors
Total
PROVIDE A GOOD ANALYSIS AND CONCLUSION!!
Transcribed Image Text:Three sections of the same highschool mathematics course are taught by three teachers. The final grades were recorded as follows: A В TEACHER C 88, 78, 48, 91, 51, 85, 74, 77, 31, 78, 62, 76, 96, 80, 56 73, 89, 82, 43, 80, 73, 66, 60, 45, 93, 36, 77 68, 79, 56, 91, 71, 71, 87,41, 59, 68, 53, 79, 15 Is there a significant difference in the average grades given by the three teachers? Use a a = 0.05 level of significance. HYPOTHESIS Но: На: Test at a= 0.05 Critical Region: F >. at v1 = V2 = ASSUMPTIONS 1. The populations from which the samples are taken have a normal distribution. 2. The populations have the same variance or standard deviation 3. The samples have randomly-picked members and that the samples are independent of each other. CALCULATIONS: Source of Variation Degrees of Freedom Sum of Squares (S) Mean squares (MS) F Treatments Errors Total PROVIDE A GOOD ANALYSIS AND CONCLUSION!!
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