A university wants to compare out-of -state applicants' mean SAT math scores (u) to in-state applicants mean SAT math scores (ua). The university looks at 35 in-state applicants and 35 out-of-stat The mean SAT math score for in-state applicants was 540, with a st math score for out-of-state applicants andard deviation of 20. The mean SAT was 555, with a standard deviation of 25. It is not reasonable to assume the corresponding population standard deviations are equal a. Calculate a 95% confidence interval for the difference μ-μα. (2-points) b. Interpret the interval. (1-point) c. Does there appear to be a difference in mean SAT math scores? Why or why not? (1-point)