A group of researchers are interested in whether temperature has an affect on time to metamorphosis in a species of frog. Eggs from a single pond were obtained and raised at either 15°C or 25°C until metamorphosis completed. Time (days) 15°C 25°C 360 379 375 353 354 299 378 349 385 323 359 298 371 301 355 375 μ 367.1 334.6 S 11.66 33.85 Time to metamorphosis at 25°C quantile Time to metamorphosis at 15°C quantile 385 380 375 370 365 360 355 +3 -1.5 380 360 340 320 300 -1.0 -0.5 00 05 10 1.5 Normal quantile -1.5 -1.0 -0.5 00 0.5 1.0 Normal quantile a) List the potential statistical tests that could be used to test the researcher's hypothesis, how they compare in terms of power, and the assumptions made by those tests. (3 marks) b) Based on the data, which test should be used? Provide a brief explanation and test any assumptions, as necessary to come to your conclusion. (4 marks) c) Conduct a statistical analysis using that test. (8 marks)

A group of researchers are interested in whether temperature has an affect on time to metamorphosis in a species of frog. Eggs from a single pond were obtained and raised at either 15°C or 25°C until metamorphosis completed. Time (days) 15°C 25°C 360 379 375 353 354 299 378 349 385 323 359 298 371 301 355 375 μ 367.1 334.6 S 11.66 33.85 Time to metamorphosis at 25°C quantile Time to metamorphosis at 15°C quantile 385 380 375 370 365 360 355 +3 -1.5 380 360 340 320 300 -1.0 -0.5 00 05 10 1.5 Normal quantile -1.5 -1.0 -0.5 00 0.5 1.0 Normal quantile a) List the potential statistical tests that could be used to test the researcher's hypothesis, how they compare in terms of power, and the assumptions made by those tests. (3 marks) b) Based on the data, which test should be used? Provide a brief explanation and test any assumptions, as necessary to come to your conclusion. (4 marks) c) Conduct a statistical analysis using that test. (8 marks)

Biology: The Unity and Diversity of Life (MindTap Course List)

14th Edition

ISBN:9781305073951

Author:Cecie Starr, Ralph Taggart, Christine Evers, Lisa Starr

Publisher:Cecie Starr, Ralph Taggart, Christine Evers, Lisa Starr

Chapter24: Animal Evolution- The Invertebrates

Section: Chapter Questions

Problem 3DAA

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