A Single Population Mean using the Student t Distribution · Exercise 31

Forbes magazine published data on the best small firms in a certain year. These were firms that had been publicly traded for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The shows the ages of the corporate CEOs for a random sample of these firms.

$$\begin{array}{ccccc}\text{48}& \text{58}& \text{51}& \text{61}& \text{56}\\ \text{59}& \text{74}& \text{63}& \text{53}& \text{50}\\ \text{59}& \text{60}& \text{60}& \text{57}& \text{46}\\ \text{55}& \text{63}& \text{57}& \text{47}& \text{55}\\ \text{57}& \text{43}& \text{61}& \text{62}& \text{49}\\ \text{67}& \text{67}& \text{55}& \text{55}& \text{49}\end{array}$$
Use this sample data to construct a 90% confidence interval for the mean age of CEO’s for these top small firms. Use the Student's t-distribution.

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 · Exercise 31