Sucrose Saccharin Polycose 12 6. 12 10 7 9. 9. 9. 10 8. 8 13 10 4 11 6. 9. 11 6 7 8. 8. 11 10 10 10 7 11 a. Complete the F table and make a decision to retain or reject the null hypothesis. b. Compute Tukey's HSD post hoc test and interpret the results.

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**Study on Sweet-Tasting Solution Consumption in Animals**

In this study, a researcher aims to determine if animal subjects consume equal amounts of different sweet-tasting solutions. The experiment involves 10 subjects, each consuming one of three types of sweet solutions: sucrose, saccharin, or polycose.

The table below presents the type of sweet-tasting solution and provides space to record the amount each was consumed in milliliters. This study uses a between-subjects design, meaning each subject only receives one type of solution.

**Table: Type of Sweet-Tasting Solution**

| Sucrose | Saccharin | Polycose |
|---------|-----------|----------|
Transcribed Image Text:**Study on Sweet-Tasting Solution Consumption in Animals** In this study, a researcher aims to determine if animal subjects consume equal amounts of different sweet-tasting solutions. The experiment involves 10 subjects, each consuming one of three types of sweet solutions: sucrose, saccharin, or polycose. The table below presents the type of sweet-tasting solution and provides space to record the amount each was consumed in milliliters. This study uses a between-subjects design, meaning each subject only receives one type of solution. **Table: Type of Sweet-Tasting Solution** | Sucrose | Saccharin | Polycose | |---------|-----------|----------|
### Data Table

The table below displays three columns containing data on different sweeteners: Sucrose, Saccharin, and Polycose. Each row indicates the numerical results from a particular observation or test.

| Sucrose | Saccharin | Polycose |
|---------|-----------|----------|
| 12      | 6         | 12       |
| 10      | 7         | 9        |
| 9       | 9         | 10       |
| 8       | 8         | 13       |
| 10      | 4         | 11       |
| 6       | 6         | 9        |
| 8       | 11        | 6        |
| 7       | 8         | 8        |
| 11      | 10        | 10       |
| 10      | 7         | 11       |

### Tasks

a. **Complete the F table**: Use the data to perform an ANOVA test to determine if there are any statistically significant differences among the means of the three groups. Based on your analysis, make a decision to either retain or reject the null hypothesis, which states that all groups have the same mean.

b. **Compute Tukey’s HSD post hoc test**: Conduct Tukey's Honestly Significant Difference test to find out which specific group means are different from each other. Interpret the results to gain deeper insights into the relationships between the different sweeteners.
Transcribed Image Text:### Data Table The table below displays three columns containing data on different sweeteners: Sucrose, Saccharin, and Polycose. Each row indicates the numerical results from a particular observation or test. | Sucrose | Saccharin | Polycose | |---------|-----------|----------| | 12 | 6 | 12 | | 10 | 7 | 9 | | 9 | 9 | 10 | | 8 | 8 | 13 | | 10 | 4 | 11 | | 6 | 6 | 9 | | 8 | 11 | 6 | | 7 | 8 | 8 | | 11 | 10 | 10 | | 10 | 7 | 11 | ### Tasks a. **Complete the F table**: Use the data to perform an ANOVA test to determine if there are any statistically significant differences among the means of the three groups. Based on your analysis, make a decision to either retain or reject the null hypothesis, which states that all groups have the same mean. b. **Compute Tukey’s HSD post hoc test**: Conduct Tukey's Honestly Significant Difference test to find out which specific group means are different from each other. Interpret the results to gain deeper insights into the relationships between the different sweeteners.
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