Recall that a confidence interval is too small if the number being estimated is larger

Recall that a confidence interval is too small if the number being estimated is larger than EVEW number in the confidence interval. Similarlv, a confidence interval is too large if the number being estimated is smallerthan everyr number in the confidence interval. Each of four researchers selects a random sample from the same population. Each researcher calculates a confidence interval forthe median of the population. The intervals are below. [14, 31], [2G, 29], [1d, 23], and [25, 35]. (a]: Nature announces, "Two ofthe intervals are correct and two are too large."r Given this information, what is the narrowest interval that is known to contain the median? (Hint: The answer is not anyr of the four confidence intervals.} (b} Nature announces, "Two of the intervals are correct, one interval istoo small and one interval is too large." Given this information, what is the narrowest interval that is known to contain the median? (Hint: The answer is not anyr of the four confidence intervals.) [c]: It is possible all of these intervals are incorrect. For example, ifv = 100 then everyr interval is incorrect. Butwhat is the maximum number ofthese intervalsthat can be correct? 1I.I'|.ihat values of v will give this maximum number of correct intervals? (Hint: The answer is not any.r of the four confidence intervals.)