The document discusses how sample size affects the center and variability of sampling distributions. It asks the reader to calculate and compare the centers and standard deviations of three samples with different sizes. Larger sample sizes result in distributions with larger centers and smaller standard deviations. The largest sample size of n=160 would be most likely to produce a value of x close to the population mean, due to its smaller standard deviation.

1. it =0.7 minutes, retpectively. veur thandard deviation to three decimat places-) (b) Repeat part (a)
for iample of size of n=20. (Pesind your standard deviathan to three decimal places.) Bavest Eart
(a) again for a uncte of ure of A=160. (fiosha your standard deviatoon to theee docimai pacesi)
How de the cehters and variabisities de the thire x samplaig distributions compare to one another?
The larper the sample sice, the larger the center and the maller the standard deviation of the x
distrikution. The larger the sample sue, the larger the center and the standard deviatien of the x
distribjes. The three centeis are all the same, and the arper the sample me, the semalier the
standard derviation of the x distribution. The Iaroer the sample cae, the amaler the oenter and the
standard devation of the x distrisution. The tfres cenctets are al the same, and the larger the
sample size, the larger the standard deviation of the x astrbution. Which sprole alee woud be most
ikedy to reault in an x value iloce to , and whe? Since the sainging distribstos of when n is 100B a
has the standard deviation, this sample size is most likely to resus in a value of x ewere ras in