Does room temperature affect cognitive function? A psychologist randomly divides 60 volunteers into two groups. One group of 30 solves a crossword puzzle in a room kept at 72F, the other group of 30 solves the puzzle in a room kept at 85F. The mean completion time (x1) for the subjects in the "cool" room is 20 minutes and the standard deviation is 51 = 6 minutes. The mean (x2) for the subjects in the "warm\" room is 26 minutes and the standard deviation is 52 = 8 minutes. Let #1 and p2 represent the mean completion times for all potential volunteers similar to the ones in this study when they are in \"cool" or \"warm\" rooms, respectively. The psychologist wishes to test the hypotheses Ho : p1 M = 0, Ha :m - #2 0. The P-value for the test (using the conservative value df = smaller of n1 1 and n2 - 1 for the degrees of freedom) is 0.00266. Which of the following is the appropriate conclusion to draw from this test, if a = 0.05