(1 point) Suppose that scores on a standardized test in mathematics taken by students from large and small high schools are N (MK, 02) and N (Y, 0'2), respectively, where 0'2 is unknown. If a random sample of n = 9 students from large high schools yielded 1': = 85.37, S? = 53.68, and a random sample of m = 15 students from small high schools yielded )7 = 84.93, s; = 47.28 find a 95% confidence interval for \"X y.