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The accompanying data are the weights (kg) of poplar trees that were obtained from trees planted in a rich and moist region. The trees were
The accompanying data are the weights (kg) of poplar trees that were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Also shown are partial results from using the Bonferroni test with the sample data. Complete parts (a) through (c). Click the icon to view the data table of the poplar weights and the Bonferroni results. a. Use a 0. 10 significance level to test the claim that the different treatments result in the same mean weight. Determine the null and alternative hypotheses. Ho H1 : Determine the test statistic. The test statistic is. (Round to two decimal places as needed.) Determine the P-value. The P-value is. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test at a 0.10 significance level? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. O C. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. O D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.b. What do the displayed Bonferroni results tell us? With a P-value of , there a significant difference between the No Treatment and Fertilizer groups. With a P-value of , there a significant difference between the No Treatment and Irrigation groups. With a P-value of , there a significant difference between the No Treatment and Fertilizer and Irrigation groups. (Round to three decimal places as needed.) c. Let Hy, H2, Ng, and A represent the mean amount of the no treatment, fertilizer, irrigation, and fertilizer and irrigation groups, respectively. Use the Bonferroni test procedure with a 0. 10 significance level to test for a significant difference between the mean amount of the irrigation treatment group and the group treated with both fertilizer and irrigation. Identify the test statistic and the P-value. What do the results indicate? Determine the null and alternative hypotheses. Ho The test statistic is (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.)What do the results indicate at a 0.10 significance level? O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. O B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. O C. Reject Ho- There is sufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight. O D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the irrigation treatment group and the group treated with both fertilizer and irrigation yield the same mean poplar weight.Poplar Weights (kg) and Bonferroni Results No Treatment Fertilizer Irrigation Fertilizer and Irrigation 1.208 0.936 0.068 0.849 0.569 0.872 0.663 1.778 0.564 0.462 0.098 1.467 0.127 0.584 0.819 2.249 1.296 1.034 0.942 1.643 Bonferroni Results Mean (1) TREATMENT (J) TREATMENT Difference (I-J) Std. Error Sig. 1.00 2.00 - 0.0248 0.26958 1.000 3.00 0.2348 0.26958 1.000 4.00 - 0.8444 0.26958 0.039
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