Random selection is important in this study because it helps to ensure that the participants in both groups are representative of the population of interest. By randomly choosing participants and assigning them to either the outside exercise group or the inside exercise group, researchers can control for confounding variables that might otherwise affect their outcomes. This means that any differences in happiness ratings between the two groups can be more reliably attributed to the type of exercise they are doing (inside vs. outside) rather than other factors like age, fitness level, or baseline happiness.
If the study had been designed differently, such as by selecting participants based on their preference for exercising indoors or outdoors (for example, only including people who already preferred one type of exercise), this would introduce a selection bias. In this case, individuals who prefer exercising outdoors might already have higher baseline happiness levels than those who prefer indoor exercise. Consequently, their happiness ratings after exercising outside may be inflated, making it appear that outdoor exercise is more beneficial for happiness than it truly is. This would impair the internal validity of the study, leading to incorrect conclusions being drawn about the relationship between exercise environment and happiness.
In summary, random selection is crucial for minimizing bias and ensuring that any observed differences in outcomes are due to the intervention (type of exercise) rather than pre-existing differences in the participants themselves.