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an experiment designed to test the output levels of three different treatments, the following results were obtained: SST 380, SSTR 150, ny 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decin Source of Variation Treatments Error Total Sum Degrees Mean of Squares of Freedom Square O Ho: At least two of the population means are equal. H: At least two of the population means are different. st for any significant difference between the mean output levels of the three treatments. Use a = 0.05. ate the null and alternative hypotheses. O Ho: Not all the population means are equal. H₂H₁ H₂ H3 O Hoi H₁ H₂ H3 H₂H₁ H₂ H3 Hoi H₁ H₂ H3 H₂H₁ H₂ H3 F Hoi H₁ H₂ H3 Ha: Not all the population means are equal. nd the value of the test statistic. (Round your answer to two decimal places.) nd the p-value. (Round your answer to four decimal places.) walue= p-value ate your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not equal.

an experiment designed to test the output levels of three different treatments, the following results were obtained: SST 380, SSTR 150, ny 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decin Source of Variation Treatments Error Total Sum Degrees Mean of Squares of Freedom Square O Ho: At least two of the population means are equal. H: At least two of the population means are different. st for any significant difference between the mean output levels of the three treatments. Use a = 0.05. ate the null and alternative hypotheses. O Ho: Not all the population means are equal. H₂H₁ H₂ H3 O Hoi H₁ H₂ H3 H₂H₁ H₂ H3 Hoi H₁ H₂ H3 H₂H₁ H₂ H3 F Hoi H₁ H₂ H3 Ha: Not all the population means are equal. nd the value of the test statistic. (Round your answer to two decimal places.) nd the p-value. (Round your answer to four decimal places.) walue= p-value ate your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that the means of the three treatments are not 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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In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST = 380, SSTR = 150, n₁ = 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Degrees Mean of Variation of Squares of Freedom Square Treatments Error Total O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. Test for any significant difference between the mean output levels of the three treatments. Use α = 0.05. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H₂: M₁ = M₂ = μ3 о но: H1 =H2= из Ha: M₁ M₂ M3 о но: M1 # M2 # M3 На: M1 = M2 = Из F O Ho: M₁ = M₂ = μ3 Ha: 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 four decimal places.) p-value = p-value State your conclusion. O Do not reject Ho. There is 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. 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.
Transcribed Image Text:In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST = 380, SSTR = 150, n₁ = 19. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source Sum Degrees Mean of Variation of Squares of Freedom Square Treatments Error Total O Ho: At least two of the population means are equal. H₂: At least two of the population means are different. Test for any significant difference between the mean output levels of the three treatments. Use α = 0.05. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H₂: M₁ = M₂ = μ3 о но: H1 =H2= из Ha: M₁ M₂ M3 о но: M1 # M2 # M3 На: M1 = M2 = Из F O Ho: M₁ = M₂ = μ3 Ha: 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 four decimal places.) p-value = p-value State your conclusion. O Do not reject Ho. There is 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. 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.
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