Question

Based on a simple random sample of size 90, an 84% confidence interval for the unknown mean SAT MATH score, μμ, in some large population is 517<μ<525517<μ<525.

Which of the following is/are correct interpretation(s) of this confidence interval?There may be more than one correct answer; you must check all correct answers in order to get credit for this problem.

A. 84% of individuals in this sample have a mean SAT MATH score between 517 and 525.
B. 84% of individuals in this population have a SAT MATH score between 517 and 525.
C. There is an 84% chance that another sample of size 90 from this population would have a mean SAT MATH score between 517 and 525.
D. 84% of all samples of size 90 from this population would have a mean SAT MATH score between 517 and 525.
E. There is an 84% chance that the true mean SAT MATH score for the entire population is between 517 and 525.
F. There is an 84% chance the interval 517<μ<525517<μ<525 contains the true mean SAT MATH score for the entire population.

Based on a simple random sample of size 620, a 91% confidence interval for the mean IQ score, μμ, in some large population is reported as 100.9±8.5100.9±8.5. Which of the following is/are correct interpretation(s) of this confidence interval?There may be more than one correct answer; you must check all correct answers in order to get credit for this problem.

A. There is a 91% chance that another sample of size 620 would have a mean IQ score within 8.5 points of 100.9.
B. 91% of the 620 individuals in this sample have an IQ score that is within 8.5 points of the population mean.
C. There is a 91% chance that the true mean IQ score for the entire population is within 8.5 points of 100.9.
D. 91% of all individuals have an IQ score within 8.5 points of 100.9.
E. There is a 91% chance that 100.9 is within 8.5 points of the true mean IQ score for the entire population.
F. 91% of all samples of size 620 would have a mean IQ score within 8.5 points of 100.9.

Answer 1