Question

​(b) Suppose a random sample of 18 pregnancies is obtained. describe the sampling distribution of the sample mean length of pregnancies.

The sampling destruction is (skewed right, normal or skewed left) with μ- x = ____ and σ-x=_______

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean 255 days and standard deviation is 14 days

Answer 1

Solution :

Given that,

mean = $\mu$ = 255

standard deviation = $\sigma$ = 14

n = 18

The sampling distribution of mean and standard deviation is ,

$\mu$_{$\bar x$} = 255

$\sigma$_{$\bar x$} = $\sigma$ / $\sqrt$ n = 14 / $\sqrt$ 18 = 3.2998