Question

a. The SAT is the most widely used test in the undergraduate admissions process. Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the admissions department at the University of New Hampshire is interested in estimating the mean math SAT scores of the incoming class with 95% confidence. How large a sample should she take to ensure that the margin of error is below 32? Round intermediate calculations to at least 4 decimal places and "z" value to 3 decimal places. Round up your final answer to the nearest whole number.)

b. You need to compute the a 99% confidence interval for the population mean. How large a sample should you draw to ensure that the sample mean does not deviate from the population mean by more than 2.3? (Use 6.9 as an estimate of the population standard deviation from prior studies.) Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places. Round up your answer to the nearest whole number.)

Answer 1