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Sample mean Sample variance 570 # sum of Saana, Tsatrn.nl | Sum of SquaresE MSues, Treatmen Squres, Ereo Celculate thi vala of the test atistc (o 2 deamals), The p valaeis Cakulate thu valu.of Fuhur. LSD Cto 2 dicaruh),

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X3 35 38 37 38 42 Total 114 114 114 113 125 15 X1 32 X2 47 47 49 51 26 32 Total X- Average-D-EX/n- Total-EX 150 30.0000 4524 48.0000 grand mean Xgrand 38.0000 38.6667 11536 7246 Total observation 15 number of groups between groups degree of freedom dfb-k-1 - within groups degree of freedom dfwg-N-k - Total degree of freedom dfTotal Si n(XXgrand)(n-1)s 24.00 30.0000 48.0000 38.0000 6.000 375.56 435.56 2.22 813.3333 4.000 16.00 26.00 total 66.0000 2n (XXgrand)- 2(n-1) S SSG+SSE sum of square between groups SSG 813.3333 66.0000 879.3333 sum of square within groups total sum of square Summary table Source of variation betweern within total df 2.0000 12.0000 14.0000 MS 406.67 5.50 F p vlaue 73.94 0.0000 813.333 66.000 879.333

sum of square; treatment= 813.33
sum of square; error= 66.00
mean square; treatment= 406.67
mean square; error= 5.50
test statistic = 73.94

p value =0.000

b)

Fisher's (LSD) for group i and j =                  (tN-k)*(sp*√(1/ni+1/nj)           = 4.53
Difference Absolute Value Conclusion
x1-x2 18.00 significant difference
x1-x3 8.00 significant difference
x2-x3 10.00 significant difference

c)

95% confidence interval =13.47 to 22.53

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