Suppose we want to test whether there is a difference between the room rates of luxury hotels in New York versus Los Angeles. We collect data from 20 random luxury hotels in New York and 30 random luxury hotels in L.A. The standard deviation of the data from New York is $40 and the standard deviation of the data from L.A. is $50. What is the pooled-variance standard error for a test or confidence interval for the difference in the means? The standard error is


Round your answer to two decimal places.