The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment Response One 3.8 One 4.8 One 3.7 One 5.9 One 2.8 Two 3.7 Two 3.8 3.5 3.2 4.3 Treatment Treatment One Two 3.7 3.8 3.5 3.2 4.3 Two Two Two 3.8 4.8 3.7 5.9 2.8 Conduct ANOVA with a = 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: p-value: Now, conduct a t-test with a = 0.05 on the same data and calculate the t-statisitc and p-value. Round your answer to three decimal places. t-statistic: p-value:

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### Study Data Overview

The following data represent the results from an independent-measures study comparing two treatment conditions.

#### Data Table

| Treatment | Response |
|-----------|----------|
| One       | 3.8      |
| One       | 4.8      |
| One       | 3.7      |
| One       | 5.9      |
| One       | 2.8      |
| Two       | 3.7      |
| Two       | 3.8      |
| Two       | 3.5      |
| Two       | 3.2      |
| Two       | 4.3      |

Two subsets of the data are compared below:

| Treatment One | Treatment Two |
|---------------|---------------|
| 3.8           | 3.7           |
| 4.8           | 3.8           |
| 3.7           | 3.5           |
| 5.9           | 3.2           |
| 2.8           | 4.3           |

### Statistical Analysis Instructions

1. **ANOVA Instructions:**

   - Conduct ANOVA with \( \alpha = 0.05 \) for this data.
   - Calculate the F-ratio and p-value. Round your answers to three decimal places.
   - Assume all population and ANOVA requirements are met.

   **F-ratio:** [  ]
   
   **p-value:** [  ]

2. **t-test Instructions:**

   - Conduct a t-test with \( \alpha = 0.05 \) on the same data.
   - Calculate the t-statistic and p-value. Round your answers to three decimal places.

   **t-statistic:** [  ]
   
   **p-value:** [  ]

This analysis aims to determine if there are significant differences in the responses between the two treatment conditions.
Transcribed Image Text:### Study Data Overview The following data represent the results from an independent-measures study comparing two treatment conditions. #### Data Table | Treatment | Response | |-----------|----------| | One | 3.8 | | One | 4.8 | | One | 3.7 | | One | 5.9 | | One | 2.8 | | Two | 3.7 | | Two | 3.8 | | Two | 3.5 | | Two | 3.2 | | Two | 4.3 | Two subsets of the data are compared below: | Treatment One | Treatment Two | |---------------|---------------| | 3.8 | 3.7 | | 4.8 | 3.8 | | 3.7 | 3.5 | | 5.9 | 3.2 | | 2.8 | 4.3 | ### Statistical Analysis Instructions 1. **ANOVA Instructions:** - Conduct ANOVA with \( \alpha = 0.05 \) for this data. - Calculate the F-ratio and p-value. Round your answers to three decimal places. - Assume all population and ANOVA requirements are met. **F-ratio:** [  ] **p-value:** [  ] 2. **t-test Instructions:** - Conduct a t-test with \( \alpha = 0.05 \) on the same data. - Calculate the t-statistic and p-value. Round your answers to three decimal places. **t-statistic:** [  ] **p-value:** [  ] This analysis aims to determine if there are significant differences in the responses between the two treatment conditions.
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