(These are not independent samples, but please assume they are independent)

1) 57 out of 70 students said they were comfortable with "working in a workplace with a lot of activity," and 38 out of 71 said they were comfortable with "doing group projects." Find a 90% confidence interval for the difference between these two proportions.

2) Reporting their comfort level on a 1 - 5 scale for "making an informative presen- tation to a large group," 71 students gave a mean response of 2.87 with a standard deviation of 1.43. When reporting their comfort for getting one hundred(100) handouts in a course, 70 students gave a mean response of 2.51 with a standard deviation of 1.22. Use a 0.01 signifi- cance level to test that the population mean for the first question is larger.