Based on my prior knowledge, here is a thorough analysis of the relationship between the feature "SkinThickness" and the task "Does this person have diabetes?"

SkinThickness is the measure of the thickness of skinfold on the triceps area of the arm, typically measured in millimeters (mm). 

Generally, individuals with higher levels of subcutaneous adipose tissue tend to have higher values of SkinThickness. However, it is important to note that SkinThickness alone may not be a reliable indicator of diabetes, as there are several factors that contribute to the development of diabetes, including genetic predisposition, lifestyle, and other clinical variables.

Now, let's create the dictionary with the specified format:

```json
{
	"yes": [30.0, 35.0, 40.0, 45.0, 50.0], 
	"no": [10.0, 15.0, 20.0, 25.0, 28.0]
}
```

These values are just examples and may not represent the actual distribution of SkinThickness for individuals with or without diabetes. The specific values would depend on the dataset being analyzed and further statistical analysis would be needed to accurately determine the relationship between SkinThickness and the likelihood of having diabetes.