The mid-distance running coach, Zdravko Popovich, for Olympic team of eastern European country claims that his six-month training program significantly decrease the average time to complete a 1500-meter run. Five mid-distance runners were randomly selected before they were trained with coach Popovich's six-month training program and their completion time of 1500-meter run was recorded (in minutes). After six months of training under coach Popovich, the same five runners' 1500 meter run time was recorded again. The results are given below.
Runner 1 2 3 4 5
Completion time before training 5.9 7.5 6.1 6.8 8.1
Completion time after training 5.5 7.0 6.3 6.7 7.9
At alpha levels of .05 and 0.10, test whether there has been a significant decrease in the mean time per mile?