[Solution] Assume 20 oz. cola bottles are filled so that the mean amount of liquid contained in the bottle is 20 oz and the standard deviation is .12 oz.


Question: Assume 20 oz. cola bottles are filled so that the mean amount of liquid contained in the bottle is 20 oz and the standard deviation is .12 oz.

If a bottle is randomly selected, find the probability that the number of ounces in that bottle is greater than 20.21 oz.

Find the probability that a randomly selected bottle has between 19.92 and 20.11 ounces.

If a case of 24 bottles is randomly selected from the population of all soda bottles, find the probability that the mean number of ounces in each bottle in the sample is above 20.21 (i.e., find the probability for the sample mean).

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