Refer to the Analytical Chemistry (May 2010) evaluation of a new method of typing blood, Exercise 10.6. Recall that blood drops were applied to the paper and the rate of absorption (called blood wicking) was measured. The next table gives the wicking lengths (millimeters) for six blood drops, each at a different antibody concentration. Let y = wicking length and x = antibody concentration.

a. Rank the wicking length values from 1 to 6.

b. Rank the antibody concentration values from 1 to 6.

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 wicking length is negatively rank correlated with antibody concentration? Test using α = .05.

Data from Exercise 10.6

In Analytical Chemistry (May 2010), chemical engineers tested a new method of typing blood using lost cost paper. Blood drops were applied to the paper and the rate of absorption (called blood wicking) was measured. The table below gives the wicking lengths (millimeters) for six blood drops, each at a different antibody concentration. Let y = wicking length and x = antibody concentration.

Transcribed Image Text:

BLOODTYPE Droplet Length (mm) Concentration 1 22.50 0.0 2 16.00 0.2 3 13.50 0.4 4 14.00 0.6 5 13.75 0.8 6 12.50 1.0