Provide the lower and upper limit.

Hong is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance for the employees of the company: Unlimited and Traditional. Hong wants to estimate, for workers in the tech industry, the difference between the yearly mean number of vacation days taken by workers with an Unlimited plan and the yearly mean number of vacation days taken by workers with a Traditional plan. Hong surveys a random sample of 17 workers who have the Unlimited plan and a random sample of 15 workers who have the Traditional plan. (These samples are chosen independently. ) For each worker, he records the number of vacation days taken last year. These data are shown in the table. Vacation days taken Unlimited 14, 16, 23, 15, 15, 9, 15, 18, 17, 28, 25, 24, 19, 12, 28, 22, 22 Traditional 19, 16, 15, 19, 20, 22, 18, 19, 17, 19, 16, 14, 14, 14, 19 Send data to calculator V Assume that the two populations of vacation days taken are approximately normally distributed. Let u be the population mean number of vacation days taken by workers with an Unlimited plan. Let u, be the population mean number of vacation days taken by workers with a Traditional plan. Construct a 90% confidence interval for the difference u - H2 . Then find the lower and upper limit of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.)