Question

A group of 8 friends got together one afternoon to practice their archery skills for an upcoming competition. They began to suspect that their bow needed attention when they noticed that their arrows consistently hit the same point that was exactly 2 inches to the left of the bullseye, instead of hitting the bullseye. Their consistent attempts have:

		low reliability and high bias
		low reliability and low bias
		high reliability and low bias
		high reliability and high bias

Answer 1

Low reliability low bias

Reliability means a quality which is trustworthy or a performance which can be trusted to be good.

In this case, the arrow consistently hits the same point that was exactly 2 inches to the left of the bullseye. So the arrow never actually hit the bullseye resulting in a bad performance. Hence the bow is not reliable. So low reliability is the first conclusion.

Again, bias means the difference between the actual point and the expected point. Here, the actual point to hit is the bullseye. But the arrow repeatedly hits 2 inches left to that of the actual point. So in each case, the bias is always 2 inches. Had the arrow hit other points also, which were further away from the target, we could have concluded a high bias. But here the bias is constant at 2 inches(which is not very huge), so we conclud this as a low bias.

Hence our conclusion is option (2) low reliability, low bias.