The paper “Analysis of the Flat vs. the Hole Entry” cited in Example 16.6 also gave the...

The paper “Analysis of the Flat vs. the Hole Entry” cited in Example 16.6 also gave the data below on time from water entry to first stroke (below) and initial velocity. The authors of the paper used signed-rank tests to analyze the data.

a. Use a level .01 test to decide whether there is a significant difference in mean time from entry to first stroke for the two entry methods.

b. Do the data suggest a difference in mean initial velocity for the two entry methods? Use a level .05 signed-rank test.