Question

50 men are randomly selected and weighed. a 95 percent confidence interval computed from the data to estimate the mean weight is (145.3, 173.4) pounds. what is true with respect to the confidence level used? a 95 percent of men weigh between 145.3 and 173.4 pounds. b 95 percent of the people in this sample weigh between 145.3 and 173.4 pounds. c there is a 95 percent chance that the mean weight of another sample of 50 men will be between 145.3 and 173.4 pounds. d in repeated samplings of the same size, 95 percent of the intervals constructed will contain a true mean weight of the men. e in repeated samplings of the same size, 95 percent of the intervals constructed will contain a sampled mean weight of the men.

Explanation:

The concept of a 95 - percent confidence interval means that if we were to take many samples of the same size and construct confidence intervals for each sample, about 95 percent of those intervals would contain the true population mean. It is not about individual data points in a single sample or a single sample mean in repeated sampling, but about the intervals containing the true population mean in repeated sampling.

Answer:

D. In repeated samplings of the same size, 95 percent of the intervals constructed will contain a true mean weight of the men.