Question

. SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first-year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample? Make sure to give a whole number answer

2. We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 354 had kids. Based on this, construct a 95% confidence interval for the proportion, p, of adult residents who are parents in this county.
Give your answers as decimals, to three places.