Question

A friend calls and indicates they are trying to decide what size sample to collect. Which of the following sample sizes would lead to the confidence interval with the shortest width?

1) 15
2) 40
3) 80
4) 200

Answer 1

The sample size of 200 would lead to the confidence interval with the shortest width.

Step-by-step explanation:

To determine which sample size would lead to the confidence interval with the shortest width, we need to understand that a larger sample size typically results in a narrower confidence interval. This is because as the sample size increases, the standard error decreases, leading to a more precise estimate of the population parameter.

Therefore, out of the given options, the sample size of 200 would lead to the confidence interval with the shortest width.