Sina Zarini
Population Dynamics
Investigating the population dynamics of round goby (Neogobius melanostomus) in Lake Ontario, we delve into the biological characteristics of individuals sampled from this lake. The dataset includes details such as fish sex, length, and mass, crucial for understanding the demographics of this invasive species. By analyzing these attributes, we aim to gain insights into the distribution, growth patterns, and potential impacts of round goby within the lake’s ecosystem.
1. Descriptive Statistics:
- What is the median length of the round goby sampled from Lake Ontario?
- What is the range of lengths observed in the sampled round goby population?
- Calculate the mean mass of the round goby specimens.
- Calculate the standard deviation of lengths observed in the sampled round goby population.
- Calculate the percentage of male and female round goby in the sampled population.
2. Graphical Analysis:
Length Distribution:
- Create a histogram to visualize the distribution of lengths among the round goby specimens.
Mass Distribution:
- Generate a histogram to visualize the distribution of masses among the round goby specimens.
Length vs. Mass Relationship:
- Create a scatter plot to visualize the relationship between length and mass among the round goby specimens.
Comparison by Sex:
- Generate side-by-side boxplots to compare the distributions of lengths and masses between male and female round goby.
3. Statistical Tests:
Correlation Analysis:
- Check for the normality of mass and length.
- Is there a correlation between length and mass among the round goby specimens? Perform the appropriate correlation test and report the correlation coefficient.
Sex Differences:
- Are there significant differences in length between male and female round goby?
Sex Ratio Hypothesis Test:
- Conduct a chi-square test to determine if the observed sex ratio in the sampled round goby population differs significantly from an expected 1:1 ratio.
