Suppose that a = 100 random samples of water from a freshwater lake were taken and the calcium concentration (milligrams per liner) measured. A 95% CI on the mean cal- cium concentration is 0.49 p = 0.82.

(a) Would a 99% CI calculated from the same sample data be longer or shotter?

(b) Consider the following statement: There is a 95% chance that 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 computed, and this process were repeated 1000 times, 950 of the Cls would contain the true value of . Is this statement correct? Explain your answer.