Chapter B.6, Problem 13AYU

NW 13. Corn Production The data in the table represent the number of corn plants in randomly sampled rows (a 17-foot by 5-inch strip) for various types of plot. An agricultural researcher wants to know whether the mean number of plants 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 partial Minitab output to test the hypothesis of equal means at the α = 0.05 level of significance.

1. (d) Shown in the next column 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 7.10.
2. (f) Verify the residuals are normally distributed.