Quizzol

QUESTION:

Which of the following will provide a more informative (i.e., narrower) confidence interval than the one in problem 3?

Using a sample of size 36 (instead of 225).

Using a different sample of size 225.

Using a 99% level of confidence (instead of 95%).

Both using a sample of size 400 (instead of 225) and using a 99% level of confidence (instead of 95%) are correct.

Both using a sample of size 400 (instead of 225) and using a 90% level of confidence (instead of 95%) are correct.

ANSWER:

Both using a sample of size 400 (instead of 225) and using a 90% level of confidence (instead of 95%) are correct.

Good job! In general, we can obtain a more informative (narrower) confidence interval in one of two ways: compromising on the level of confidence (in other words, choosing a lower level of confidence), or increasing the sample size (that might be impossible in practice, though).

Posted by Cleveland on September 22, 2024