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A hot dog manufacturer asserts that one of its brands of hot dogs has an average fat content of 10 grams per hot dog. Fat contents in hot dogs from this manufacturer follow an approximately normal distribution with a standard deviation of 1.6 grams. Define the statistic x = mean fat content in a random sample of 10 hot dogs. If the hot dog manufacturer's claim is true, what would be the standard deviation of the sampling distribution of x? Round to three decimal places. i