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Chapter 7: Problem 19

a. If a rifleman's gunsight is adjusted incorrectly, he might shoot bullets consistently close to 2 feet left of the bull's-eye target. Draw a sketch of the target with the bullet holes. Does this show lack of precision or bias? b. Draw a second sketch of the target if the shots are both unbiased and precise (have little variation). The rifleman's aim is not perfect, so your sketches should show more than one bullet hole.

Short Answer

Expert verified
The first sketch depicts a biased shot, as the bullet holes are consistently off mark, landing 2 feet left of the bull's-eye. However, they are closely grouped, meaning they are precise. The second sketch demonstrates an unbiased and precise shot, as the bullet holes are well centered on the bull's-eye and closely grouped together, showing a little variation.

Step by step solution

01

Drawing a biased shoot

Sketch a circle to represent the bull's-eye target, then, consistently sketch bullet holes approximately 2 feet left of the center of the target. This represents shots that are biased, as they are consistently off from the intended mark.
02

Analyzing the bias

Looking at the first sketch, it can be seen that the bullet holes are not centered on the bull's-eye but consistently 2 feet left. This illustrates bias - the bullet is consistently off the mark in one direction. The precision could be high since the bullets are landing close together.
03

Drawing an unbiased and precise shoot

Again, draw a circle to represent the target. This time, sketch bullet holes centered on the bull's-eye. To indicate precision, the bullet holes should be closely grouped together. There is more than one bullet hole to demonstrate that rifleman's aim is not perfect.
04

Analyzing the unbiased and precise shoot

In the second sketch, it can be seen that the bullet holes are well centered on the bull's-eye, indicating unbiased shots. Plus, the bullet holes are closely grouped together, demonstrating high precision. The shots are unbiased and precise because they are close to the intended mark and there is less variation.

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