MATH 314 Homework 11

Due 2026-04-13 by 11:59pm

Download the following dataset into your Homework 11 repository: finches. Here's the metadata. Please push this dataset along with your ipynb file for Homework 11.

For each hypothesis test below, you should

• state the null and alternative hypotheses,
  • write these in
• state your level of significance ,
• compare the p-value to the level of significance,
• make a statistical conclusion based on the comparison,
• interpret the conclusion in context of the data.

1. Use a one sample t-test on the variable winglength. Test to see if the mean wing length is equal to 70mm.

2. Filter the data set down to any two islands of your choice. Then use a two sample t-test to see if the mean winglength of finches from these two islands are the same.

3. Use Analysis of Variance (ANOVA) to compare the mean wing lengths of finches across all three islands.

4. Run linear regression and use a hypothesis test to see if the there is a linear relationship between wing length and tail length.