Math 1054 has four sections. All the selections use the same final exam. The fol

Question

Math 1054 has four sections. All the selections use the same final exam. The following table is the summary of the results on final exam. a) Find the average score of all students in there four section. b). Final. SSG, the sum from groups (or, sum of square between).; c) Find SSE, the sum of square of Error (or, of square within). d) Find the F - value e). Find d P - value f) Can we believe there is significant difference in students' performance among the four section? (At significance level 0.05).

Explanation / Answer

a) mean of all section =80.966

b)SSG =422.897

c)SSE=224.970

d)F =52.008

e)P value=0.0000

f)as p vlaue is very low we can conclude that there is significant difference in student performance among at least two of sections

i ni Xi Si^2 ni*(Xi-mean)^2 (n1-1)*Si^2 1 20 78 44.89 175.886 852.91 2 25 84 53.290 230.202 1278.96 2 18 80 42.250 16.780 718.25 3 24 81 30.250 0.029 695.75 mean 80.966 422.897 3545.870 SSG SSE Source of variation SS df MS F P value F crit treatment 422.897 3 140.966 52.008 0.00000 2.714565 error 224.970 83 2.710 total 647.867 86

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