Assume now that the amount of fill dispensed by the bottling

Assume now that the amount of fill dispensed by the bottling machine is normally distributed with sigma = 2 ounces. If n = 9 bottles arc randomly selected from the output of the machine, what is P(lY - mu| . 3)? Compare this with the answer obtained in Example 7. 2. Find P(|Y - mu| . 3) when Y is to be computed using samples of sizes n = 25, n = 36, n = 49, and n = 64. What pattern do you observe among the values for P(|Y - mu| . 3) that you observed for the various values of n? How do the respective probabilities obtained in this problem (where sigma = 2) compare to those obtained in Exercise 7. 9 (where sigma = 1)?

Solution