Refer to the Mining Engineering (Oct. 2004) study of a new iron-making technology, Exercise 10.25. Recall that the carbon content produced in a pilot plant test was compared to that from laboratory furnace tests. The data for 25 pilot tests are reproduced in the accompanying table. Conduct a nonparametric test to determine if the carbon content values from the pilot plant are positively correlated with the values from the lab furnace. Test using α = .01.

Data from Exercise 10.25

An innovative new ironmaking technology (called ITmk3) produces high-quality iron nuggets directly from raw iron ore and coal. Mining Engineering (Oct. 2004) published the results of pilot tests conducted on the new process. For one phase of the study, the carbon content produced in a pilot plant test was compared to that from laboratory furnace tests.

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CARBON Carbon Content (%) Pilot Plant Carbon Content (%) Lab Furnace Lab Furnace Pilot Plant 1.7 1.6 3.4 4.3 3.1 2.4 3.2 3.6 3.3 2.8 3.3 3.4 3.6 2.9 3.1 3.3 3.4 3.0 3.0 3.2 3.5 3.1 2.9 3.2 3.8 3.2 2.6 3.4 3.7 3.2 2.5 3.3 3.5 3.3 2.6 3.2 3.4 3.3 2.6 3.1 3.6 3.4 2.4 3.0 3.5 3.4 2.6 2.7 3.9 3.8