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16. At a large university, a mathematics placement is administered to all students. Samples of 30...

16. At a large university, a mathematics placement is administered to all students. Samples of 30 female and 36 male students are randomly selected from this year's student body and their scores are recorded. The mean of the females' scores is 79.83 with standard deviation 8.80, and the mean of the males' scores is 74.69 with standard deviation 10.19. Let μ 1 be the population mean for the females and μ 2 be the population mean for the males. To find a 95% confidence interval for the difference between the means μ 1 − μ 2 of females' and males' scores, what is the margin of error, E?

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