An experimental farm performs research on a wide range of crops in a country. Yi

Question

An experimental farm performs research on a wide range of crops in a country. Yields of wheat can be affected by Fusarium, a fungus. Antifungal agents can be researched by measuring their impact on wheat yield in bushels per acre. A trial of five different antifungal agents could be conducted on four blocks of land, with each divided into five plots, and one randomly assigned for each agent. Sample results are given the accompanying table. Complete parts (a) through (c) below Click the icon to view, the wheat yield results a) Is this an experiment or an observational study? Explain. A. This is an experiment because the company controlled the antifungal agent. O B. This is an experiment because the company controlled the plot within each block where a particular agent was used O C. This is an experiment because the company controlled the seeds used for each plot. 0 D. This is an observational study because the company did not control any variables for the experimental units b) Conduct two different ANOVA analyses of this data with 0.05, and compare their results. Begin with an analysis for the randomized block design. Perform the test for the effect of the blocks. State the null and alternative hypotheses H: The mean crop yield is the same for all blocks. HA The mean crop yield is different for at least one block. G wheat yields The test statistic is 2.54 (Round to two decimal places as needed.) The P-value is 0.105 (Round to three decimal places as needed.) Perform the test for the effect of the agent. State the null and alternative hypotheses Antifungal Agent Block 41.1337.71 34.22 32.16 39.87 40.23 35.3738.24 32.7540.06 39.89 41.1539.42 38.93 41.16 37.24 40.45 37.72 36.84 42.09 Ho: The mean crop yield is the same for all agents HA The mean crop yield is different for at least one agent PrintDone The test statistic is (Round to two decimal places as needed.)

Explanation / Answer

For the givn data using ANOVA without replication in excell we get output as below

From above output

F test statistics =  4.61

ANOVA Source of Variation SS df MS F P-value F crit Rows 30.8959 3 10.29863167 2.5390123 0.105663 3.490294821 Columns 74.85148 4 18.71287 4.613448527 0.0173524 3.259166727 Error 48.67388 12 4.056156667 Total 154.4213 19

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