The SAT is the most widely used test in the undergraduate admissions process. Sc

Question

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 90% confidence. How large a sample should she take to ensure that the margin of error is below 16? Use Table 1. (Round intermediate calculations to 4 decimal places and "z-value" to 3 decimal places. Round up your final answer to the nearest whole number.)

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 90% confidence. How large a sample should she take to ensure that the margin of error is below 16? Use Table 1. (Round intermediate calculations to 4 decimal places and "z-value" to 3 decimal places. Round up your final answer to the nearest whole number.)

Explanation / Answer

Range = 800 - 200 = 600
sigma = range/4 = 600/4 = 150

ME = z*sigma/sqrt(n)
n = (z*sigma/ME)^2

n = (1.96*150/16)^2
n = 337.640625

sample size = 337

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