Two fields of equal soil types and slope both had corn planted last year. It was the first year that the newly installed center pivot irrigation systems were used - one system per field. However, these systems were made by two different manufacturers.

Suspecting that one of the systems in particular is oversupplying water to the corn, the farmer set up sensors on the edge of the field adjacent to a drainage ditch to measure the total runoff in the two fields. The data from these two sensors is displayed below:



Water runoff (gallons)

Irrigation System #1

11.4 12.4 12.1 11.8 11.8 11.7 12.3 12.0 11.8

Irrigation System #2

13.0 12.4 12.4 12.1 12.3 12.1 12.5 12.0 12.1

The question of interest is whether these two systems produce significantly different runoff. Find the value of the test statistic for the this test (hint: this is a kind of t-test - read the problem carefully to infer exactly which kind).