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An experiment has been conducted for four treatments with seven blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places and your p-value to three decimal places.) Sum Source of Variation Degrees of Freedom Mean Square F of Squares p-value Treatments 1,500 Blocks 400 Error Total 2.500 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. ⒸH₂H₂ = H₂=H₂ =H₂ OH₂H₂H₂H₂ # H₂ H₂H₁ H₂H₂ = H₂ OH: At least two of the population means are equal. H: At least two of the population means are different. OH: Not all the population means are equal. OH₂H₂ =H₂=H₂ = H₂ H₂: Not all the population means are equal. 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 H. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject H. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal.

An experiment has been conducted for four treatments with seven blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places and your p-value to three decimal places.) Sum Source of Variation Degrees of Freedom Mean Square F of Squares p-value Treatments 1,500 Blocks 400 Error Total 2.500 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. ⒸH₂H₂ = H₂=H₂ =H₂ OH₂H₂H₂H₂ # H₂ H₂H₁ H₂H₂ = H₂ OH: At least two of the population means are equal. H: At least two of the population means are different. OH: Not all the population means are equal. OH₂H₂ =H₂=H₂ = H₂ H₂: Not all the population means are equal. 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 H. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject H. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal.

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
Section10.4: Distributions Of Data
Problem 19PFA
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An experiment has been conducted for four treatments with seven blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.) Source Sum Degrees of Freedom Mean Square F p-value of Variation of Squares Treatments 1,500 Blocks 400 Error Total 2,500 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. ⒸH₁ H₂H₂ = H₂ = H₂ OH₂H₂H₂H₂ H₂ H₂H₂ = H₂ = H₂ = 14 OH: At least two of the population means are equal. H: At least two of the population means are different. O H Not all the population means are equal. H₂H₂ = H₂ = H₂ = 144 ⒸH₁ H₂ = H₂H₂ = H₂ H.: Not all the population means are equal. 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 H. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject H. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal.
Transcribed Image Text:An experiment has been conducted for four treatments with seven blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.) Source Sum Degrees of Freedom Mean Square F p-value of Variation of Squares Treatments 1,500 Blocks 400 Error Total 2,500 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. ⒸH₁ H₂H₂ = H₂ = H₂ OH₂H₂H₂H₂ H₂ H₂H₂ = H₂ = H₂ = 14 OH: At least two of the population means are equal. H: At least two of the population means are different. O H Not all the population means are equal. H₂H₂ = H₂ = H₂ = 144 ⒸH₁ H₂ = H₂H₂ = H₂ H.: Not all the population means are equal. 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 H. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject H. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject H. There is sufficient evidence to conclude that the means of the four treatments are not all equal.
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