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...Confidence intervals for an unknown parameter of some distribution e g are that contain not with certainty but a high probability which can we choose and popular such interval is calculated from sample means being wrong one about will instead writing denote this more distinctly by special symbol conf seems worthwhile in order to avoid the misunderstanding must lie between called level lower upper limits they depend on larger smaller error longer if then its length goes infinity choice depends kind application taking no umbrella chance getting wet tragic medical decision life or death may be too large desirable valuable than point estimates indeed take midpoint as approximation half bound strict sense numerics except whose know froma x these n observations random variable now comes standard trick regard xn single variables same namely observed values two condition involving written let us see what all concrete practical cases each case section shall first state steps obtaining form tabl...