Question

Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 33.7 ft and standard deviation 19.7 ft.

You intend to measure a random sample of n=113 trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error (standard deviation) of the sampling distribution. Complete the indicated boxes, correct to two decimal places.

μx¯=

σx¯=

Answer 1

Solution :

Given that,

mean = $\mu$ = 33.7

standard deviation = $\sigma$ = 19.7

n = 113

$\mu$_{$\bar x$} =  $\mu$ = 33.7

$\sigma$_{$\bar x$} = $\sigma$ / $\sqrt$ n = 19.7 / $\sqrt$ 113 = 1.85