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The lengths of pregnancies are normally distributed with a mean of 273 days and a standard...

The lengths of pregnancies are normally distributed with a mean of 273 days and a standard deviation of 15 days. If 36 women are randomly selected, find the probability that they have a mean pregnancy between 273 days and 275 days.

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Answer #1

ANSWER::

We know sample mean

where ,   are the mean and sd of population and n is the sample size drawn .

So, here the sample mean of Pregnancy days ,

or

So,

Where Z~N(0,1)

So required probability = 0.288

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