Question

Assume that we want to construct a confidence interval. Determine whether you should use the t-distribution or the normal distribution to find it, based on the following information. In this problem, let n be the sample size.

n = 23, the standard deviation is unknown, the population appears to be normally distributed

Group of answer choices

Normal Distribution

T-Distribution

neither of the methods studied by us can be used

Answer 1

In this case, since the sample size \( n = 23 \) is less than 30 and the standard deviation is unknown, you should use the **t-distribution** to construct the confidence interval. The t-distribution is appropriate when dealing with small sample sizes and unknown population standard deviations, especially when the population is normally distributed.

So, the correct answer is:

**T-Distribution**