Assume now that the amount of fill dispensed by the bottling machine is normally

Question

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)?

Explanation / Answer

Assume now that the amount of fill dispensed by the bottling machine is normally

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