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A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Is there significant evidence that the two treatments differ using an alpha .05 paired t test.

A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Is there significant evidence that the two treatments differ using an alpha .05 paired t test.

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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A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Is there significant evidence that the two treatments differ using an alpha .05
paired t test.

### Data Analysis of Treatment Effects on Twins The table displays the results of two different treatments, A and B, applied to pairs of twins. The objective is to measure the effectiveness of each treatment across eight pairs of twins. #### Table Overview - **Twins**: The pairs of twins are numbered from 1 to 8. - **Treatment A and Treatment B**: Each twin received a different treatment, A or B, and their responses were recorded. #### Data Details | Twins | Treatment A | Treatment B | |-------|-------------|-------------| | 1 | 48.3 | 43.5 | | 2 | 44.6 | 43.8 | | 3 | 49.7 | 53.7 | | 4 | 40.5 | 43.9 | | 5 | 54.3 | 54.4 | | 6 | 55.6 | 54.7 | | 7 | 45.8 | 45.2 | | 8 | 35.4 | 34.4 | #### Interpretation - **Treatment A** shows varied results, with scores ranging from 35.4 to 55.6. - **Treatment B** also demonstrates variability, with scores between 34.4 and 54.7. - A comparison between treatments for each twin can be made to evaluate which treatment had a more favorable effect. These results can be used to determine the comparative effectiveness of the two treatments across the sample. Further statistical analysis might provide insight into which treatment tends to perform better overall.
Transcribed Image Text:### Data Analysis of Treatment Effects on Twins The table displays the results of two different treatments, A and B, applied to pairs of twins. The objective is to measure the effectiveness of each treatment across eight pairs of twins. #### Table Overview - **Twins**: The pairs of twins are numbered from 1 to 8. - **Treatment A and Treatment B**: Each twin received a different treatment, A or B, and their responses were recorded. #### Data Details | Twins | Treatment A | Treatment B | |-------|-------------|-------------| | 1 | 48.3 | 43.5 | | 2 | 44.6 | 43.8 | | 3 | 49.7 | 53.7 | | 4 | 40.5 | 43.9 | | 5 | 54.3 | 54.4 | | 6 | 55.6 | 54.7 | | 7 | 45.8 | 45.2 | | 8 | 35.4 | 34.4 | #### Interpretation - **Treatment A** shows varied results, with scores ranging from 35.4 to 55.6. - **Treatment B** also demonstrates variability, with scores between 34.4 and 54.7. - A comparison between treatments for each twin can be made to evaluate which treatment had a more favorable effect. These results can be used to determine the comparative effectiveness of the two treatments across the sample. Further statistical analysis might provide insight into which treatment tends to perform better overall.
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