A juice manufacturer sells several kinds of juice in 59-oz containers. A machine fills the containers, and

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A juice manufacturer sells several kinds of juice in 59-oz containers. A machine fills the containers, and the amount dispensed by the machine is normally distributed with a mean of 59 oz and standard deviation of 0.5 oz. Overfilling the container wastes juice, and underfilling it risks consumer dissatisfaction. What filling tolerance t guarantees that 95% of the time the machine fills within t oz of 59 oz? This means that 2.5% of the time the machine dispenses more than 59 + t oz and 2.5% of the time it dispenses less than 59 - t oz.

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