1) A random sample of 19 colleges yielded a mean cost of college education $30500 per year with SD of $3000. Find the samping distribution of the sample mean. (let the cost of all college education be normal distributed)
2) In 2012, a sample of 1000 showed that 400 Quebec adults would vote "yes". If it is appropriate, find 99% confidence interval for the population proportions of all Quebec residents who favor independence for the providence of Quebec. Can you conclude that the opinion of Quebec adults vote "yes" is less than half at 1% significance?