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The data in the accompanying table represent the number of corn plants in randomly sampled rows (a 17-foot by 5-inch strip) for various types of plots. An agricultural researcher wants to know whether the mean numbers of plants for each plot are equal.
below.
(a) Write the null and alternative hypotheses. Choose the correct answer below.
(b) State the requirements that must be satisfied to use the one-way ANOVA procedure. Select all that apply.
(c) Use the following one-way ANOVA table to test the hypothesis of equal means at the α=0.05 level of significance.
Sludge Plot Spring Disk No Till
25 32 29
28 30 27
31 31 30
29 35 32
29 32 25
26 34 30
(d)Should the null hypothesis be rejected?
(e) Verify that the residuals are normally distributed.
(f) How does the normal probability plot of the residuals show that the residuals are normally distributed?
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What percentage of the observations are within: Compare the results with the predictions of the empirical rule.
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