1. (10 points) A sample of size 80 is selected from a Population A yields a mean of 83 and a standard deviation of 12, and a sample of size 65 is selected from a Population B yields a mean of 67 and a standard deviation of 14. a. Find the standard error of the distribution of differences in sample means. b. Find the t-values for the endpoints of the t-distribution with 2.5% beyond them in each tail