Question: The data in the table represent the number of pods on a random sample of soybean plants for various plot types. An agricultural researcher wants

The data in the table represent the number of pods on a random sample of soybean plants for various plot types. An agricultural researcher wants to determine if the mean numbers of pods for each plot type are equal.

Pods Plot Type Liberty 31 35 41 38 32 36 39 34 37 No till 34 30 27 33 42 39 31 40 37 Chisel plowed 34 37 24 23 32 33 27

(a) Write the null and alternative hypotheses.
(b) State the requirements that must be satisfied to use the one-way ANOVA procedure.
(c) Use the following Minitab output to test the hypothesis of equal means at the a = 0.05 level of significance.
One-way ANOVA: Liberty, No Till Chisel Plowed

MS Source Factor Error Total df 3.77 3.77 0.038 149.0 474.7 74.5 24 26 19.8 623.6

(d) Shown are side-by-side boxplots of each type of plot. Do these boxplots support the results obtained in part (c)?

(e) Verify that the F-test statistic is 3.77.
(f) Verify the residuals are normally distributed.

Pods Plot Type Liberty 31 35 41 38 32 36 39 34 37 No till 34 30 27 33 42 39 31 40 37 Chisel plowed 34 37 24 23 32 33 27 34 30 MS Source Factor Error Total df 3.77 3.77 0.038 149.0 474.7 74.5 24 26 19.8 623.6

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