Question

ANSWER [8 points each). Show your work for full credit. 16) A college admissions officer takes a simple random sample of 110 entering freshmen and computes their mean mathematics SAT score to be 461. Assume the population standard deviation is $\sigma = 96$. (a) Construct a 98% confidence interval for the mean mathematics SAT score for the entering freshmen class. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place. (b) How large a sample should be taken if the mean mathematics SAT score for entering freshmen class is to be estimated with 98% confidence to within 15 points? Round your final answer up to the next whole number.

          ANSWER [8 points each). Show your work for full credit.
16) A college admissions officer takes a simple random sample of 110 entering freshmen and computes their mean
mathematics SAT score to be 461. Assume the population standard deviation is $\sigma = 96$.
(a) Construct a 98% confidence interval for the mean mathematics SAT score for the entering freshmen class.
Round intermediate answers to at least three decimal places. Round your final answers to one decimal place.
(b) How large a sample should be taken if the mean mathematics SAT score for entering freshmen class is to be
estimated with 98% confidence to within 15 points? Round your final answer up to the next whole number.

ANSWER [8 points each). Show your work for full credit.
16) A college admissions officer takes a simple random sample of 110 entering freshmen and computes their mean
mathematics SAT score to be 461. Assume the population standard deviation is σ = 96.
(a) Construct a 98% confidence interval for the mean mathematics SAT score for the entering freshmen class.
Round intermediate answers to at least three decimal places. Round your final answers to one decimal place.
(b) How large a sample should be taken if the mean mathematics SAT score for entering freshmen class is to be
estimated with 98% confidence to within 15 points? Round your final answer up to the next whole number.

Added by Elizabeth G.

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