True or False: The confidence interval for the mean will be wider for 95% confidence than for 90% confidence when all the other things being equal.

1 answer

True. The confidence interval for the mean will be wider for 95% confidence than for 90% confidence, assuming all other factors are equal (such as sample size and variability). This is because a higher confidence level requires a larger margin of error to ensure that the interval captures the true population mean with the desired level of certainty.