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Five different treatments of fertilizer were applied to a number of plots of corn . Treatment 1 was applied to four plots, Treatments 2 and

Five different treatments of fertilizer were applied to a number of plots of corn . Treatment 1 was applied to four plots, Treatments 2 and 3 were applied to six plots, Treatment 4 was applied to seven plots and Treatment 5 was applied three plots. The yields per acre are shown below.

(1) (2) (3) (4) (5)

78.9 63.5 79.1 87.0 75.9

72.3 74.1 90.3 91.2 77.2

81.1 75.5 85.6 75.3 81.5

85.7 80.8 81.4 79.4

71.3 74.5 80.7

79.4 95.3 82.8

89.6

Test the hypothesis that mean yield is the same for each fertilizer treatment at 5% level of significance.

The ANOVA Table for this problem is

Source of Sum of Degrees of Mean

Variation Squares Freedom Squares

Treatment 427.16 k - 1 = ? ?
Error 796.48 n - k = ? ?
Total 1223.64 ?

The F - statistic for testing the hypothesis,

H0 : is F = ?

The Critical Value F( = 0.05, ?, ?) = ?

Decision: ?

Conclusion: ?

Fill in the question marks ? above.

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