Question: You are a corporate inspector for an organization with 10 manufacturing plants, and you are interested in determining how well each plant audit score correlate with injury experience.

The individual plant audit scores and their injury frequency rates for the year, along with their respective rankings, are tabulated in the following table.

Plant audit score (X) rank(x) injury rate (Y) rank(y)

A 50 10 10.00 10

B 65 8 8.50 8

C 82 5 5.00 4

D 85 4 7.00 6

E 73 7 8.00 7

F 75 6 5.50 5

G 92 3 4.00 3

H 95 2 3.00 2

I 55 9 9.00 9

J 98 1 2.00 1

a. What is the Spearman Rank Coefficient of correlation between rankings of audit scores and injury rates?

i. +0.96

ii. +0.90

iii. -0.90

iv. -0.96

b. Assume that you have calculated that the coefficient of correlation is significant at the 1% level. This means that;

i. The items measured by the audits account for 1% of the factors affecting injury rates.

ii. The coefficient of correlation has a 99% probability of resulting from chance.

iii. The coefficient of correlation is only 1% correct.

iv. The coefficient of correlation has a 1% probability of resulting from chance.