Use the given information below to find the confidence intervals. Show all work. 1. Assuming conditions are met for inference, find the confidence interval for the population mean for the following information. The point estimate for the population mean is 8.9 and the standard error is 1.9569. The t value for a 95% confidence intervals is 2.0484. Round to the nearest tenths. 2. A random sample of 60 part-time college students taking one math class spends an average of $200.00 for their textbook. A random sample of 40 part-time college students taking one sociology class spend an average of $180.00 for their textbook. The standard deviation in each case is $20.00. Find a 95% confidence interval for the difference in mean cost of textbooks for math and sociology students. Round to the nearest tenths