Refer to Exercise 6.98. In that exercise, suppose the mean is set to be 8 ounces, but

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Refer to Exercise 6.98. In that exercise, suppose the mean is set to be 8 ounces, but the standard deviation is unknown. The cups used in the machine can hold up to 8.2 ounces, but these cups will overflow if more than 8.2 ounces is dispensed by the machine. What is the smallest possible standard deviation that will result in overflows occurring 3% of the time?
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