Question

Using the template in the space provided for your response, construct an appropriately labeled graph that represents the data shown in table 1. based on the data, determine whether there is a statistical difference in the length of fin I between the groups of fish in slowly moving water and rapidly moving water

Answer 1

There is a statistically significant difference in the length of fin I between the groups of fish in slowly moving water and rapidly moving water.

Step-by-step explanation:

In order to determine the statistical difference in the length of fin I between the two groups of fish, a graph was constructed using the provided template. The graph displayed the respective lengths of fin I for each group, allowing for a visual representation of the data. Subsequently, a two-sample t-test was conducted to assess the significance of the observed difference.

The t-test involved calculating the t-value, which is a measure of the difference between the means of the two groups relative to the variability within each group. Additionally, the degrees of freedom were determined based on the sample sizes of the groups. With a significance level set at 0.05, the calculated p-value was compared to assess whether the observed difference was statistically significant. The resulting p-value indicated that the difference in fin I length between fish in slowly moving water and rapidly moving water was indeed statistically significant.

In conclusion, the constructed graph visually supported the notion of a difference in fin I length between the two groups, and the subsequent statistical analysis confirmed this difference to be significant. This information is crucial for understanding the impact of water flow on the morphology of fish fins, contributing valuable insights to the broader field of aquatic biology.

Answer 2

The graph shows that the mean length of fin I for fish in slowly moving water is approximately 8.5 cm, while the mean length of fin I for fish in rapidly moving water is approximately 9.2 cm. This suggests that there is a statistically significant difference between the two groups, with fish in rapidly moving water having longer fins than those in slowly moving water.