1. A bank has 820 accounts. The manager took a random sample of 60 of these accounts. The sample mean was $127.43, and the sample standard deviation was $43.27. Find a 90% confidence interval for the population mean and a 95% confidence interval for the total amount of these accounts. (Note: you are given the population size N from which we are sampling; so this is finite sample problem.)
2. Suppose that an opinion survey asked citizens of Canada whether they would vote for Justin Trudeau in the next election or not. The poll was said to have " a 3% margin of error." The implication is that a 95% confidence interval for the population proportion holding a particular opinion is the sample proportion plus or minus at most 3%. (Remember to write 3% as 0.03) How many citizens of voting age need to be sampled to obtain this 3% margin of error?