MATH 315 Homework 07

Due 2025-10-20 by 11:59pm

1. Using the dataset on finches perform an appropriate hypothesis test to test if the mean tarsuslengths differ by island.

   a. Make an appropriate plot for this test. Write a sentence explaining the plot and how it relates to the hypothesis test.

   b. State the null and alternative hypothesis, using appropriate statistical symbols.

   c. State in words what the null hypothesis means.

   d. Pick and write a reasonable significance value/level of significance .

   e. Report the test statistic, the group degrees of freedom, and the p-value.

   f. Using the p-value and the level of significance, make a statistical decision about the hypothesis test.

   g. Explain what this decision means using minimal statistical jargon.

   h. Should you calculate Tukey's HSD to determine which island has a mean tarsus length different than the rest? Why or why not? If yes, calculate Tukey's HSD and then explain which mean(s) are different from the rest.

2. Repeat 1. above with the variable beakwidth using a level of significance of .