Question

A 90% confidence interval for the mean of a population based on the information in a sample always implies that there is a 90% chance that the

A. True population mean lies within the specified confidence interval.
B. True population mean is no larger than the largest endpoint of the interval.
C. Estimate is equal to the true population mean.
D. Standard deviation will not be any greater than 10% of the population mean.

Answer 1

A 90% confidence interval for the mean of a population means that if we took repeated samples and constructed confidence intervals from those samples, approximately 90% of those intervals would contain the true population mean.

Step-by-step explanation:

The correct answer is A. True population mean lies within the specified confidence interval.

A 90% confidence interval for the mean of a population means that if we took repeated samples and constructed confidence intervals from those samples, approximately 90% of those intervals would contain the true population mean.

The confidence interval gives a range of values within which the true population mean is likely to fall. It does not imply a probability or chance that the true mean lies within the interval.