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In: Statistics and Probability

The fertilizers A and B, with C as the control (no fertilizer) used in a tomato...

The fertilizers A and B, with C as the control (no fertilizer) used in a tomato experiment. Four (4) replicates for each treatment are obtained, and the data of the completely randomized design for tomato plants as the total yield is summarized as follows: ? = ????? ??? ????????? ? ? ABC T1 = 26.1 T3 = 26.3 ?1 = 4 ?3 = 4 x2 =600.0 ij T2 = 31.8 ?2 = 4

(a) Write the assumptions of a single factor ANOVA.

(b) Formulate the null and the alternative hypothesis for the tomato plants experiment.

(c) Construct an ANOVA table for the experiment.

(d) Calculate the value of the test statistic, state the degrees of freedom, and approximate the p-value.

(e) Would you reject H0 or fail to reject H0 at 5% level of significance?

(f) Write your conclusion.

(g) Use Tukey’s procedure to identify the significant differences in the mean yield for the three treatments. Be sure to order the treatment means and underscore that don`t differ.

(h) Which fertilizer would you recommend?

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