A Single Population Mean using the Student t Distribution · Try It 2

A random sample of statistics students were asked to estimate the total number of hours they spend watching television in an average week. The responses are recorded in. Use this sample data to construct a 98% confidence interval for the mean number of hours statistics students will spend watching television in one week.
$$\begin{array}{ccccc}\text{0}& \text{3}& \text{1}& \text{20}& \text{9}\\ \text{5}& \text{10}& \text{1}& \text{10}& \text{4}\\ \text{14}& \text{2}& \text{4}& \text{4}& \text{5}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §8.2 A Single Population Mean using the Student t Distribution · Try It 2