The professor swims Here are data on the time (in minutes) Professor Moore takes to swim 2000 yards and his pulse rate (beats per minute) after swimming on a random sample of 23 days:

Time: 34.12 35.72 34.72 34.05 34.13 35.72 Pulse: 152 124 140 152 146 128 Time: 36.17 35.57 35.37 35.57 35.43 36.05 Pulse: 136 144 148 144 136 124 Time: 34.85 34.70 34.75 33.93 34.60 34.00 Pulse: 148 144 140 156 136 148 Time: 34.35 35.62 35.68 35.28 35.97 Pulse: 148 132 124 132 139 Is there statistically significant evidence of a negative linear relationship between Professor Moore’s swim time and his pulse rate in the population of days on which he swims 2000 yards? Carry out an appropriate significance test at the a = 0.05 level.