Question

16. A researcher is interested in estimating the mean weight of ten-year old children. Based on a simple random sample of 92 ten year olds, the 90% confidence interval for the population mean was 94.4 < μ < 99.6 pounds. Which of the statements below is the best interpretation of this confidence interval? a. There is a 90% chance that the true value of μ will fall between 944 and 996. b. If many different samples of size 92 were selected and, based on cach sample, a confidence interval were constructed, in the long run, 90% of the confidence intervals would contain the true value of μ. If 100 different samples of size 92 were selected, and based on each sample, a confidence interval were constructed, exactly 90 of these confidence intervals would contain the true value of p. c. d. If many different samples of size 92 were selected and, based on each sample, a confidence interval were constructed 90% of the time the true value of would lie between 94.4 and 99.6 S points

Answer 1

Given:

90% Confidence interval: 94.4 < $\mu$ < 99.6

Therefore, we are 90% confident that the population mean ($\mu$) is lies in that interval.

ANSWER: A) There is 90% chance that the true value of  $\mu$ will fall between 94.4 and 99.6