Question

15. A marine biologist is studying two different species of starfish, one that is red and one that is green. She wishes to determine if there is a difference in median body size between the two species. Based on previous work, the distribution of body sizes in these two species do not follow a normal distribution. RED 108 64 80 92 40 GREEN 102 116 98 132 108 124 Use the appropriate non-parametric test to determine if the median body size differs between the two species. Show your work. Please provide your null and alternative hypotheses, calculation of your test statistic, and conclusions. (8 pts) a. b. Describe the steps that you would use to perform a permutation test in place of the non-parametric test mentioned above. Write out what a random permutation of the data might look like. (6 pts)

Answer 1

Soltion Given Th @J Ho:e ess Tabie Re9 Been 1o8 o2 64 6 32 40 (o8 24 Red ond biken dee

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να γ lance 9630 (3.33 20 ain auee mea eehe df Staf

Red Gree lo3 6q 20 16 98 13 2 1O% 4-0 124 3.33 These are only 962 Possiteallectios . So, ualuew be 301 and df