Two confidence intervals for the population mean are [br]shown below. The top interval changes as the slider [br]values change. The bottom interval has fixed values [br]to demonstrate how the top interval changes. [br][br]How does the confidence interval change as the [br]sample mean changes?[br]How does the length of the confidence interval change [br]as the sample standard deviation changes?[br]How does the length of the confidence interval change [br]as the sample size changes?[br]How does the length of the confidence interval change [br]as the confidence changes?