An airline wants to evaluate the depth perception of its pilots over the age of fifty. A random sample of n = 14 airline pilots over the age of fifty are asked to judge the distance between two markers placed 20 feet apart at the opposite end of the laboratory. Assume we don’t know the population standard deviation. The sample data listed here are the pilots’ error (recorded in feet) in judging the distance.

2.9 2.6 2.9 2.6 2.4 1.3 2.3
2.2 2.5 2.3 2.8 2.5 2.7 2.6

Is there evidence that the mean error in depth perception for the company’s pilots over the age of fifty is greater than 2.1? Use α = 0.05 and software to get the results, and paste in the appropriate output. (Note: make sure you write the hypotheses, the test statistic, P-value and conclusions in terms of the problem.) What is the 90% confidence interval for the mean error in depth perception?