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he following data represent t onditions. Treatment Response One 6.8 One 5.4 One 8.5 One 6.8 One 7.5

he following data represent t onditions. Treatment Response One 6.8 One 5.4 One 8.5 One 6.8 One 7.5

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The following data represent the results from an independent-measures study comparing two treatment conditions. | Treatment | Response | |-----------|----------| | One | 6.8 | | One | 5.4 | | One | 8.5 | | One | 6.8 | | One | 7.5 | | One | 5.3 | | One | 7.1 | | One | 7.3 | | Two | 3.6 | | Two | 2.3 | | Two | 3.0 | | Two | 4.2 | | Two | 1.9 | | Two | 1.3 | | Two | 3.2 | | Two | 4.9 | | Treatment One | Treatment Two | |---------------|---------------| | 6.8 | 3.6 | | 5.4 | 2.3 | | 8.5 | 3.0 | | 6.8 | 4.2 | | 7.5 | 1.9 | | 5.3 | 1.3 | | 7.1 | 3.2 | | 7.3 | 4.9 | Conduct ANOVA with \( \alpha = 0.05 \) for this data and calculate the \( F \)-ratio and \( p \)-value. Round your answer to three decimal places. Assume all population and ANOVA requirements are met. - \( F \)-ratio: 44.78 - \( p \)-value: 0.000 Now, conduct a t-test with \( \alpha = 0.05 \) on the same data and calculate the t-statistic and \( p \)-value. Round your answer to three decimal places. - t-statistic: 6.690 - \( p \)-value: 0.000 Observing the \( p \)-values, was there a difference in the result of the hypothesis test? - No, the p-values aren't that far off where it would change the outcome of the test.
Transcribed Image Text:The following data represent the results from an independent-measures study comparing two treatment conditions. | Treatment | Response | |-----------|----------| | One | 6.8 | | One | 5.4 | | One | 8.5 | | One | 6.8 | | One | 7.5 | | One | 5.3 | | One | 7.1 | | One | 7.3 | | Two | 3.6 | | Two | 2.3 | | Two | 3.0 | | Two | 4.2 | | Two | 1.9 | | Two | 1.3 | | Two | 3.2 | | Two | 4.9 | | Treatment One | Treatment Two | |---------------|---------------| | 6.8 | 3.6 | | 5.4 | 2.3 | | 8.5 | 3.0 | | 6.8 | 4.2 | | 7.5 | 1.9 | | 5.3 | 1.3 | | 7.1 | 3.2 | | 7.3 | 4.9 | Conduct ANOVA with \( \alpha = 0.05 \) for this data and calculate the \( F \)-ratio and \( p \)-value. Round your answer to three decimal places. Assume all population and ANOVA requirements are met. - \( F \)-ratio: 44.78 - \( p \)-value: 0.000 Now, conduct a t-test with \( \alpha = 0.05 \) on the same data and calculate the t-statistic and \( p \)-value. Round your answer to three decimal places. - t-statistic: 6.690 - \( p \)-value: 0.000 Observing the \( p \)-values, was there a difference in the result of the hypothesis test? - No, the p-values aren't that far off where it would change the outcome of the test.
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