The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with the mean.  266 days and standard deviation, 16 days. If a random sample of size 16 pregnant women is taken from the population repeatedly and the mean length of pregnancies are calculated from the samples: a) Determine the standard error of the distribution of the sample means b) Write a probability distribution model for the sample mean.

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The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with the mean.  266 days and standard deviation, 16 days. If a random sample of size 16 pregnant women is taken from the population repeatedly and the mean length of pregnancies are calculated from the samples:

a) Determine the standard error of the distribution of the sample means

b) Write a probability distribution model for the sample mean.

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