The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year,100 new hires took the test and scored a mean of112.2 points with a standard deviation of12.9. Last year,55 new hires took the test and scored a mean of117.8 points with a standard deviation of14.8. Assume that the population standard deviations of the test scores of all new hires in the current year and the test scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a99% confidence interval for _{1 2}, the difference between the mean test score₁ of new hires from the current year and the mean test score₂ of new hires from last year. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult alist of formulas.)

What is the lower limit of the 99% confidence interval?

What is the upper limit of the 99% confidence interval?