True or false? Every random sample of the same size from a given population will produce exactly the same confidence interval for μ.

False

false

False. Every random sample of the same size from a given population will not necessarily produce exactly the same confidence interval for μ. Sample means can vary from one sample to another due to random sampling variability. Confidence intervals are calculated based on the sample mean and the level of confidence desired, so different samples will likely yield different confidence intervals. However, as the sample size increases, the variation between different confidence intervals tends to decrease.