A) 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.

B) You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately ?=56.3?=56.3. You would like to be 99% confident that your esimate is within 2.5 of the true population mean. How large of a sample size is required?

Do not round mid-calculation. However, use a critical value accurate to three decimal places ? this is important for the system to be able to give hints for incorrect answers.

C)

If n=29, lx-barFBL and 5:4, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place. l