An additional experiment was conducted to look at the impact of sugary desserts eaten at lunch, two hours before class, and ZOD. Twelve students volunteered to participate in the experiment. Students were randomly assigned to eat a large slice of apple or cherry pie, with six participants randomized in each group. Two hours later, their ZODs (in minutes) were recorded during a 50-minute lecture. The data are in the file ZODTwoGroups.csv.

Use set.seed(12) and then create 1000 permutations for the difference of mean ZOD for cherry pie minus the mean ZOD for apple pie. What is the observed difference in means for the sample data?

ZODTwoGroups.csv:

Pie ZOD Apple Apple Apple 0.5 Apple 1.5 Apple 1 Apple Cherry Cherry Cherry Cherry 5.5 Cherry 6.5 Cherry 5