Question

When Jim surveyed 5 sixth-grade students at the community skating rink, he found that only 1 out of the 5 had completed the science project. He knows there are about 160 sixth-grade students in his community, so he infers that around 32 students have finished their science project. Is this a good inference?

Answer 1

(1/5)*160 = 32.

Then 32 is a good statisct to approximate the result. Of course, always there is an error associated with the measure, which should be approximated by the standard deviation.

Answer 2

Answer: No, Jim did not make a good inference.

Explanation:

Given: Jim surveyed only 5 sixth-grade students at the community skating rink, he found that only 1 out of the 5 had completed the science project.

⇒ Sample space = 5

His interference was 32 students have finished their science project if 160 sixth-grade students in his community.

But the sample space (5) is too small and it can be biased as he only asked students at the community skating rink.

Therefore, Jim did not make a good inference.