Question

Find the level of a two-sided confidence interval for t = 2.776 with sample size 5. express the answer as a percent.

Answer 1

Using a t-distribution calculator, it is found that the confidence level is of 95%.

What is a t-distribution confidence interval?

The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

• $\overline{x}$ is the sample mean.

• t is the critical value.

• n is the sample size.

• s is the standard deviation for the sample.

In this problem, we have that t = 2.776, df = 5 - 1 = 4 for a two-tailed interval, hence looking at the t-table it is found that the confidence level is of 95%.

More can be learned about the t-distribution at https://brainly.com/question/16313918