2. They might incorrectly decide to allow the filling process to continue when, in fact, the true average had deviated from 12 ounces. After carefully considering what the consultant told them, Don indicated that he wanted no more than a 0.02 chance of the first problem occurring because of the costs involved. He also decided that if the true average fill had slipped to 11.99 ounces, he wanted no more than a 0.05 chance of not detecting this with his sampling plan. He wanted to avoid problems with state and federal agencies. Finally, if the true average fill had actually risen to 12.007 ounces, he wanted to be able to detect this 98% of the time with his sampling plan. Thus, he wanted to avoid the lost profits that would result from such a problem.
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