# deciding between two types of plans for vacation allowance

Last updated: 5/26/2023

deciding between two types of plans for vacation allowance for the employees of the company Unlimited and Traditional Hans 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 Hans 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 Unlimited 23 24 14 15 20 9 22 12 31 8 21 22 13 17 3 15 10 Traditional 16 10 13 11 13 11 20 13 14 8 18 15 14 14 15 Send data to calculator V Vacation days taken Assume that the two populations of vacation days taken are approximately normally distributed Let be the population mean number of vacation days taken by workers with an Unlimited plan Let be the population mean number of vacation days taken by workers with a Traditional plan Construct a 99 confidence interval for the difference Then find the lower and upper limit of the 99 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 Lower limit Upper limit 8 X