A manufacturer of gun powder has developed a new powder, which was tested in eight shells. The resulting muzzle velocities, in feet per second, were as follows:
3005 2925 2935 2965 2995 3005 2937 2905
The manufacturer claims that the new gunpowder produces an av- erage velocity of not less than 3000 feet per second. Do the sample data provide sufficient evidence to contradict the manufacturer’s claim at the 0.025 level of significance? Assume that muzzle veloc- ities are approximately normally distributed.