Distribution of lengths of human pregnancies

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Recall that the distribution of lengths of human pregnancies (measured in days, from conception to birth) follows the N(266,16) Normal curve. Suppose a SRS of size n = 50 births is drawn from the population of human mothers and the lengths of the corresponding pregnancies are recorded. Identify the standard deviation of the sampling distribution of xbar rounding to 4 decimal places (only give the numeric quantity, not the units)

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