A real estate agent wants to estimate the average age of those buying investment property in his area. He randomly selects 15 of his clients who purchased an investment property and obtains the data shown. Use this information to answer the following questions.

33 31 48 47 39 46 56 43 42 43 57 46 57 48 41

The buyer ages are approximately normally distributed and the sample does not contain any outliers. Construct a 95% confidence interval for the mean age for all the real estate agent's clients who purchased investment property.