Suppose that n = 100 random samples of water from a freshwater lake were taken and the calcium concentration (milligrams per liter) measured. a 95% ci on the mean calcium concentration is 0. 49 0 82 ≤ μ ≤ . (a) would a 99% ci calculated from the same sample data be longer or shorter? (b) consider the following statement: there is a 95% chance that μ is between 0.49 and 0.82. is this statement correct? explain your answer. (c) consider the following statement: if n = 100 random samples of water from the lake were taken and the 95% ci on μ computed, and this process were repeated 1000 times, 950 of the cis would contain the true value of μ. is this statement correct? explain your answer.