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)

Case Studies In Health Information Management
3rd Edition
ISBN:9781337676908
Author:SCHNERING
Publisher:SCHNERING
Chapter5: Compliance
Section: Chapter Questions
Problem 5.14.2C
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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)
Transcribed Image Text: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)
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