Chapter B.6, Problem 14AYU

Soybean Yield 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.

Source: Andrew Dieter and Brad Schmidgall, Joliet Junior College

1. (a) Write the null and alternative hypotheses.
2. (b) State the requirements that must be satisfied to use the one-way ANOVA procedure.
3. (c) Use the following Minitab output to test the hypothesis of equal means at the α = 0.05 level of significance.

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

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