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The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 2 3 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Hg: Not all the population means are equal. H: Hy = Hz = Hg O Ho: Hy # Hz # H3 Hi Hy = Hz = H3 Ho: At least two of the population means are equal. H: At least two of the population means are different. Hoi Hy = Hz = Hg H: Not all the population means are equal. Ho: Hy = Hz = H3 Hoi Hy # Hz # Hg 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. Do not reject Hg. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ha. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Reject Hg. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 2 3 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Hg: Not all the population means are equal. H: Hy = Hz = Hg O Ho: Hy # Hz # H3 Hi Hy = Hz = H3 Ho: At least two of the population means are equal. H: At least two of the population means are different. Hoi Hy = Hz = Hg H: Not all the population means are equal. Ho: Hy = Hz = H3 Hoi Hy # Hz # Hg 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. Do not reject Hg. There is sufficient evidence to conclude that the means of the three treatments are not equal. Do not reject Ha. There is not sufficient evidence to conclude that the means of the three treatments are not equal. Reject Hg. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 1 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H3: H1 = H2 = H3 O Ho: H1 * H2 * H3 Ha: H1 = H2 = Hz O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H, = H2 = H3 H: Not all the population means are equal. O Ho: H1 = 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 Do not reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject H.. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho: There is not sufficient evidence to conclude that the means of the three treatments are not equal.
Transcribed Image Text:The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 1 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H3: H1 = H2 = H3 O Ho: H1 * H2 * H3 Ha: H1 = H2 = Hz O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H, = H2 = H3 H: Not all the population means are equal. O Ho: H1 = 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 Do not reject H.. There is sufficient evidence to conclude that the means of the three treatments are not equal. O Do not reject H.. There is not sufficient evidence to conclude that the means of the three treatments are not equal. O Reject Ho: There is not sufficient evidence to conclude that the means of the three treatments are not equal.
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