A cereal manufacturer is concerned that the boxes of cereal not be underfilled or overfilled. Each box of cereal is supposed to contain 13 ounces of cereal. A random sample of 31 boxes is tested. The average weight is 12.58 ounces and the standard deviation is .25 ounces. Calculate a confidence interval to test the hypotheses that the mean cereal weight is different from 13 ounces at α = .10 and interpret.
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