The length of human pregnancies is approximately normal with mean μ=266 days and standard deviation σ=16 days. Complete parts​ (a) through​ (f). a. What is the probability that a randomly selected pregnancy lasts less than 258 ​days? The probability that a randomly selected pregnancy lasts less than 258 days is approximately.. b. Suppose a random sample of 11 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is ____ with μx= _ and σx=_    c. What is the probability that a random sample of 11 pregnancies has

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The length of human pregnancies is approximately normal with mean μ=266 days and standard deviation σ=16 days.

Complete parts​ (a) through​ (f).

a. What is the probability that a randomly selected pregnancy lasts less than 258
​days? The probability that a randomly selected pregnancy lasts less than 258 days is approximately..

b. Suppose a random sample of 11 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

The sampling distribution of x is ____ with μx= _ and σx=_
 
 c. What is the probability that a random sample of 11 pregnancies has a mean gestation period of 258 days or​ less?
 
d. What is the probability that a random sample of 28 pregnancies has a mean gestation period of 258 days or​ less?
 
e. What might you conclude if a random sample of 28 pregnancies resulted in a mean gestation period of 258 days or​ less?
 
f. What is the probability a random sample of size 15 will have a mean gestation period within 9 days of the​ mean?
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