Corn Production The data in the table represent the number of corn plants in randomly

Chapter 13, Problem 14

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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 numbers of plants for each plot type are equal. Plot Type Number of Plants Sludge plot 25 27 33 30 28 27 Spring disk 32 30 33 35 34 34 No till 30 26 29 32 25 29 Source: Andrew Dieter and Brad Schmidgall, Joliet Junior College (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 partial MINITAB output to test the hypothesis of equal means at the a = 0.05 level of significance. One-way ANOVA: Sludge Plot, Spring Disk, No Till DF 2 15 17 Source Factor Error Total MS 42.06 5.92 SS 84.11 88.83 172.94 F 7.10 P 0.007 (d) Shown are side-by-side boxplots of each type of plot. Do these boxplots support the results obtained in part (c)? 25 Sludge Plot Number of Plants Plot Type 30 35 Spring Disk No Till (e) Verify that the F-test statistic is 7.10. (f ) Verify the residuals are normally distributed. (a) Write the null and alternative hypotheses.(b) State the requirements that must be satisfied to use the onewayANOVA procedure.(c) Use the following MINITAB output to test the hypothesis ofequal means at the a = 0.05 level of significance.One-way ANOVA: Liberty, No Till Chisel PlowedDF22426SourceFactorErrorTotalMS74.519.8SS149.0474.7623.6F3.77P0.038(d) Shown are side-by-side boxplots of each type of plot. Dothese boxplots support the results obtained in part (c)?20LibertyNumber of PlantsPlot Type30 40No TillChisel Plowed(e) Verify that the F-test statistic is 3.77.(f ) Verify the residuals are normally distributed.