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Green Sea Turtles are generally quite slow swimmers. However, a few learn to swim very fast, creating outliers in swimming speeds. Below is a table

Green Sea Turtles are generally quite slow swimmers. However, a few learn to swim very fast, creating outliers in swimming speeds. Below is a table of data showing the swimming speeds of random samples of Green Sea Turtles in three countries and histograms illustrating the three distributions. Below that are the results of the Shapiro-Wilk, first based on the original data and, second, based on natural log transformed data (ln). At the 10% significance level, perform the most appropriate test to determine whether there is a difference in swimming speeds of the sea turtles between the three countries. For this test, be sure to explain your reasons for choosing the particular hypothesis test that you selected and verify that the assumptions for this test are met.

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Green Sea Turtle swimming speeds (km/day) Cuba Nicaragua Costa Rica 5.5 25.6 1 23.8 2 2 9.7 1 14.2 11.4 1 8.7 0.5 1.5 4.7 3.6 2.3 15.3 1.3Cuba Nicaragua OH N W A UTO [1, 7.15] (7.15, 13.3] (13.3, 19.45] (6.325, 12.15] (17.975, 23.8 [0.5, 6.325] (12.15,... Costa Rica 2.5 2 1.5 1 0.5 0 [1, 4.3] (4.3, 7.6] (7.6, 10.9] (10.9, 14.2] Normality tests based on Original Data Tests of Normality Kolmogorov-Smirnova Shapiro-Wilk Country Statistic df Sig Statistic df Sig. Speed CostaRic 203 5 200* 922 5 540 Cuba 166 200' 925 8 476 Nicaragu 464 6 <.001 this is a lower bound of the true significance. a. lilliefors significance correction normality tests based on logged data kolmogorov-smirnova shapiro-wilk country statistic df sig inspeed costaric cuba .200 nicaragu>

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