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alue of alue of alue of three decimal places as needed.) there a significant difference b there a significant difference E there a significant difference E 2. H3, and Ha represent the mean amount of the

alue of alue of alue of three decimal places as needed.) there a significant difference b there a significant difference E there a significant difference E 2. H3, and Ha represent the mean amount of the

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 µ4, H2, Hz, and H4 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: H1: 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. 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. B. 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. O C. 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. D. 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.
Transcribed Image Text: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 µ4, H2, Hz, and H4 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: H1: 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. 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. B. 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. O C. 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. D. 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.
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). Poplar Weights (kg) and 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. No Treatment Fertilizer Irrigation Fertilizer and Ir Ho: 1.214 0.941 0.072 0.849 Hy: 0.568 0.871 0.659 1.778 0.562 0.458 0.099 1.465 Determine the test statistic. 0.128 0.582 0.821 2.247 The test statistic is 1.303 1.031 0.935 1.636 (Round to two decimal places as needed.) Bonferroni Results Determine the P-value. Mean Difference (I-J) | Std. Error - 0.0216 (1) TREATMENT (J) TREATMENT Sig. The P-value is 1.00 2.00 0.26973 1.000 3.00 0.2378 0.26973 1.000 (Round to three decimal places as needed.) 4.00 - 0.8400 0.26973 0.040 What is the conclusion for this hypothesis test at a 0.10 significance level? O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weigh B. Reject Ho: There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. Print Done C. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. D. 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 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.)
Transcribed Image Text: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). Poplar Weights (kg) and 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. No Treatment Fertilizer Irrigation Fertilizer and Ir Ho: 1.214 0.941 0.072 0.849 Hy: 0.568 0.871 0.659 1.778 0.562 0.458 0.099 1.465 Determine the test statistic. 0.128 0.582 0.821 2.247 The test statistic is 1.303 1.031 0.935 1.636 (Round to two decimal places as needed.) Bonferroni Results Determine the P-value. Mean Difference (I-J) | Std. Error - 0.0216 (1) TREATMENT (J) TREATMENT Sig. The P-value is 1.00 2.00 0.26973 1.000 3.00 0.2378 0.26973 1.000 (Round to three decimal places as needed.) 4.00 - 0.8400 0.26973 0.040 What is the conclusion for this hypothesis test at a 0.10 significance level? O A. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weigh B. Reject Ho: There is sufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. Print Done C. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight. D. 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 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.)
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