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# An Automatic filling machine at a ketchup manufacturer fills (by weight) 16 oz bottles of ketchup that vary according to a symmetric, bell-shaped

An Automatic filling machine at a ketchup manufacturer fills (by weight) 16 oz bottles of ketchup that vary according to a symmetric, bell-shaped curve with a mean of 16 oz and a standard deviation 1oz. What proportion of bottles have weights greater than 19 oz? Suppose your data is approximately normally distributed with a mean 25 and standard deviation 15. What is the approximate 97.5th percentile of your data?