Refer to the Bulletin of Marine Science (April 2010) study of teams of fishermen fishing for the red spiny lobster in Baja California Sur, Mexico, Exercise. Recall that two variables measured for each of 8 teams from the Punta Abreojos (PA) fishing cooperative were total catch of lobsters (in kilograms) during the season and average percentage of traps allocated per day to exploring areas of unknown catch (called search frequency). These data, saved in the TRAPSPACE file, are reproduced in the table.

Total Catch Search Frequency

2,785 ......... 35

6,535 ......... 21

6,695 .........26

4,891 .........29

4,937 .........23

5,727 .........17

7,019 .........21

5,735 .........20

a. Rank the total catch values from 1 to 8.

b. Rank the search frequency values from 1 to 8.

c. Use the ranks, parts a and b, to compute Spearman's rank correlation coefficient.

d. Based on the result, part c, is there sufficient evidence to indicate that total catch is negatively rank correlated with search frequency? Test using α = .05.