A population has mean and standard deviation . Find and for samples of size . Round your answers to one decimal place if needed.

μx = 17

σx = 2.2

Step-by-step explanation:

See attachment for full question.

Given:

μ = 17

σ = 22

Required

Determine (i) μx and  (ii) σx

Solving (i): μx

The mean of a sample means is calculated as thus:

μx = μ

Hence:

μx = 17

Solving (ii): σx

σx = σ/√n

So, we have:

σx = 22/√100

σx = 22/10

σx = 2.2

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4