An aircraft engine manufacturing company is launching a new product and wants to ensure that its tolerance on a turbine is within 0.1% of the turbine's target size of 500 cm with a 99% confidence. It samples 23 turbines and concludes that the average turbine is 500.5 cm, estimates that the standard deviation is 0.5 cm, and determines that the t-value is 2.819. What is the confidence interval