Suppose that Kellogg believes that the average weight for a box of Frosted Flaked is 18 ounces. As part of a quality control effort, they sample 30 boxes and find that the mean of those 30 boxes is 18.2 ounces. Historical records show that the standard deviation of the filling process is 0.32 ounces. How likely is it for the sample mean to have been 18.2 ounces or larger if the actual mean is 18 ounces and the standard deviation of the filling process is 0.32 ounces? Round your answer to four decimal places.
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