An instructor wishes to determine whether there is any difference in three methods (1, 2, or 3) of teaching an elementary statistics course, with regards to the final averages. Students in three different sections of the course were taught using one of the methods. Assume all other variables remain fixed (eg, common exams, etc.). A preliminary sample of the overall course averages from the three sections is given in the following table along with the ANOVA table. If you were testing at the 5 percent level of significance for the equality of the means for the different methods, the rejection region will be Method 1 Method 2 Method 3 82 71 67 92 61 75 87 78 69 86 74 73 ANOVA TAE Degrees of Squares, $S Freredom, df Squore, MS Source Sum of Mean Feitical pvolue Decision Between 42565 0.0029 Reject 661.5 330.75 11.967 Somples (Factor) Within Somples 27.689 248.75 Total 910.25 11
An instructor wishes to determine whether there is any difference in three methods (1, 2, or 3) of teaching an elementary statistics course, with regards to the final averages. Students in three different sections of the course were taught using one of the methods. Assume all other variables remain fixed (eg, common exams, etc.). A preliminary sample of the overall course averages from the three sections is given in the following table along with the ANOVA table. If you were testing at the 5 percent level of significance for the equality of the means for the different methods, the rejection region will be Method 1 Method 2 Method 3 82 71 67 92 61 75 87 78 69 86 74 73 ANOVA TAE Degrees of Squares, $S Freredom, df Squore, MS Source Sum of Mean Feitical pvolue Decision Between 42565 0.0029 Reject 661.5 330.75 11.967 Somples (Factor) Within Somples 27.689 248.75 Total 910.25 11
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:An instructor wishes to determine whether there is any difference in three methods (1, 2, or 3) of teaching an elementary statistics course, with
regards to the final averages. Students in three different sections of the course were taught using one of the methods. Assume all other variables
remain fixed (eg. common exams, etc.). A preliminary sample of the overall course averages from the three sections is given in the following table
along with the ANOVA table. If you were testing at the 5 percent level of significance for the equality of the means for the different methods,
the rejection region will be
Method 1
Method 2
Method 3
82
71
67
92
61
75
87
78
69
86
74
73
ANOVA TABLE
Degrees of
Squares, SS Freedom, df Square, MS
Ne
ev
Source
Sum of
Mean
Feritical pvolue Decision
Between
0.0029
Reject
330.75
11.967
42565
Somples
661.5
(Factor)
Within
Somples
(Eror)
Totol
248.75
27.6389
910.25
11
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