Create a simulation to test the Music data. Use the technology instructions provided to randomly multiply a 1 or a - 1 by each observed difference. This randomly assigns an order (Fastdiff- Slowdiff or Slowdiff-Fastdiff). Then, for each iteration, calculate the mean difference. The p- value is the proportion of times your simulation found a mean difference greater than or equal to 1.857.
a. Create a histogram of the mean differences. Mark the area on the histogram that represents your p-value.
b. Use the p- value to state your conclusions in the context of the problem. Address random allocation and random sampling (or lack of either) when stating your conclusions.