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The accompanying data are the weights (kg) of poplar trees that were obtained from trees planted t '6' in a rich and moist region. The
The accompanying data are the weights (kg) of poplar trees that were obtained from trees planted t '6' 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. Poplar Weights (kg) and Bonferroni Results No Treatment Fertilizer Irrigation Fertilizer and Irrigation CI 1.207 0.941 0.073 0.851 0.565 0.868 0.661 1.782 0.563 0.455 0.098 1.4?3 0.126 0.584 0.823 2.248 1.298 1.028 0.939 1.639 Bonferroni Results Mean (I) TREATMENT (J) TREATMENT Difference (H) mm 1.00 2.00 - 0.0234 0.26943 1.000 3.00 0.2330 0.26943 1.000 4.00 - 0.8468 0.26943 0.038 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: M1 = H2 = M3 = H4 H1: At least one of the four population means is different from the others Determine the test statistic. The test statistic is 6.15 (Round to two decimal places as needed.) Determine the P-value. The P-value is 0.005 (Round to three decimal places as needed.) What is the conclusion for this hypothesis test at a 0.10 significance level? A. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. O B. 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. 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.b. What do the displayed Bonferroni results tell us? With a P-value of B, there |:| a signicant difference between the No Treatment and Fertilizer groups. With a P-value of B, there |:| a signicant difference between the No Treatment and Irrigation groups. With a P-value of B, there |:| a signicant difference between the No Treatment and Fertilizer and Irrigation groups. (Round to three decimal places as needed.) c. Let M, p2, p3, and p4 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 signicance level to test for a signicant 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. H0: H1: The test statistic is D. (Round to two decimal places as needed.) Find the Pvalue. The Pvalue is D. The Pvalue is D. (Round to three decimal places as needed.) What do the results indicate at a 0.10 significance level? C? A. Reject H0. 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. (Li:- B. Reject Ho. There is sufcient 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. 5'21- C. Fail to reject H0. 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. 5'} D. Fail to reject H0. 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
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