Alligators perform a spinning maneuver, referred to as a death roll, to subdue their prey. Videos were
Question:
Alligators perform a spinning maneuver, referred to as a "death roll", to subdue their prey. Videos were taken of juvenile alligators performing this maneuver in a study for the article "Death Roll of the Alligator, Mechanics of Twist and Feeding in Water" (Journal of Experimental Biology, Vol. 210, pp. 2811-2818) by F. Fish et al. One of the variables measured was the degree of the angle between the body and head of the alligator while performing the roll. A sample of 20 rolls yielded the following data, in degrees.
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a. Do the data provide sufficient evidence to conclude that, on average, the angle between the body and head of an alligator during a death roll is greater than 45â—¦? Perform a Wilcoxon signed-rank test at the 5% significance level.
b. The hypothesis test considered in part (a) was done in Exercise 9.115 with a t-test. The assumption in that exercise is that the angle between the body and head of an alligator during a death roll is (approximately) normally distributed. If that is the case, why is it permissible to perform a Wilcoxon signed-rank test for the mean angle between the body and head of an alligator during a death roll?
Step by Step Answer:
0 45 n 20 005 a Step 1 H 0 45 H a 45 Step 2 005 Step 3 W sum of the ranks 1500 Step 4 ...View the full answer
