A 95% condence interval for the mean has been calculated using a sample size of 22. [fdre condence level is increased then, all other things remaining constant, the condence interval will become wider narrower All statistical esmates inherently involve some level of imprecision and some level of uncertainty. Beth has collected a sample from a numerical variable X. She has calculated a sample mean of 6,121. From this, Beth draws the following inference: 'I am 99% condent that the population mean of X is somewhere between 6,063 anaI 6,179. ' In this inference, Beth has: 0 acknowledged both the imprecision and the uncertainty in statistical estimates 0 acknowledged the uncertainty but failed to acknowledge the imprecision in statistical estimates 0 acknowledged the imprecision but failed to acknowledge the uncertainty in statistical estimates 0 failed to acknowledge both the imprecision and uncertainty in statistical estimates