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The United States Coast Guard assumes the mean weight of

The United States Coast Guard assumes the mean weight of passengers in commercial boats is 185 pounds. The previous value was lower, but was raised after a tragic boating accident. The standard deviation of passenger weights is 26.7 pounds. The weights of a random sample of 48 commercial boat passengers were recorded. The sample mean was determined to be 177.6 pound. Find the probability that a random sample of passengers will have a weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample.  (round to answer to 3 decimal places)


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