In filling bags of nitrogen fertilizer, it is desired to hold the average overfill to as low a value as possible. The lower specification limit is 22.0 kg (48.50 lb), the population mean weight of the bags is 22.73 kg (50.11 lb), and the population standard deviation is 0.80 kg (1.76 lb). what percentage of the bags contains less than 22kg? If it is permissible for 5% of the bags to be below 22kg, what would be the average weight? Assume a normal distribution.
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