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You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a = 0.05. xj Treatment 1 63 46 53 46 52 64.67 Treatment 2 Ho: H₁ H₂ H3 H₂H₁ = H₂=H3 83 71 87 71 78 68.00 Treatment 3 70 54 61 51 59 71.33 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. OH₁ H₁ = H₂=H3 H: Not all the population means are equal. O Ho: Not all the population means are equal. на: Н1 = H2 = из O Ho: At least two of the population means are equal. H: At least two of the population means are different. о но: H1 =H2=Из H₂H₁ H₂ H3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to determine which means are different. Find the value of LSD. (Round your answer to two decimal places.) LSD =

You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a = 0.05. xj Treatment 1 63 46 53 46 52 64.67 Treatment 2 Ho: H₁ H₂ H3 H₂H₁ = H₂=H3 83 71 87 71 78 68.00 Treatment 3 70 54 61 51 59 71.33 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. OH₁ H₁ = H₂=H3 H: Not all the population means are equal. O Ho: Not all the population means are equal. на: Н1 = H2 = из O Ho: At least two of the population means are equal. H: At least two of the population means are different. о но: H1 =H2=Из H₂H₁ H₂ H3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to determine which means are different. Find the value of LSD. (Round your answer to two decimal places.) LSD =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Sun Oct 22 webassign.net You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a = 0.05. xj Treatment Treatment 1 2 63 46 53 46 52 64.67 о но H1 #Hz #Из H₂H₁ = H₂ = 3 83 = 71 87 71 78 68.00 Treatment 3 70 54 61 51 59 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H₁ H₁ = H₂ = 13 H: Not all the population means are equal. 71.33 O Ho: Not all the population means are equal. на: H1 = H2 = Из O Ho: At least two of the population means are equal. H: At least two of the population means are different. Ho: H₁ H₂ H3 на: М1 #M2 #Из Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to determine which means are different. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of treatments. |x₁ - x₂ = X₁ - X3 79%
Transcribed Image Text:Sun Oct 22 webassign.net You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a = 0.05. xj Treatment Treatment 1 2 63 46 53 46 52 64.67 о но H1 #Hz #Из H₂H₁ = H₂ = 3 83 = 71 87 71 78 68.00 Treatment 3 70 54 61 51 59 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H₁ H₁ = H₂ = 13 H: Not all the population means are equal. 71.33 O Ho: Not all the population means are equal. на: H1 = H2 = Из O Ho: At least two of the population means are equal. H: At least two of the population means are different. Ho: H₁ H₂ H3 на: М1 #M2 #Из Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to determine which means are different. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of treatments. |x₁ - x₂ = X₁ - X3 79%
Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to determine which means are different. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of treatments. x₁-x₂ ||X₁ - X3| |x-x|= = = Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for treatments 1 and 2. There is a significant difference between the means for treatments 1 and 3. O There is a significant difference between the means for treatments 2 and 3. There are no significant differences.
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal. (b) Use Fisher's LSD procedure to determine which means are different. Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of treatments. x₁-x₂ ||X₁ - X3| |x-x|= = = Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for treatments 1 and 2. There is a significant difference between the means for treatments 1 and 3. O There is a significant difference between the means for treatments 2 and 3. There are no significant differences.
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