Ask your own question, for FREE!
Mathematics 12 Online
OpenStudy (anonymous):

How does increasing the pop. standard deviation affect z? How does increasing the number of scores in a sample affect z? How does increasing the difference between the sample mean and the original population mean affect z? Does z Increase or Decrease?

OpenStudy (mathmale):

Why not look up (if necessary) and type in the formula for "z-score?" What parameters (variables) affect the z-score?

OpenStudy (anonymous):

I meant for the last one

OpenStudy (mathmale):

i think it'd be helpful if you were to type out the formula for the z score. Mind doing that?

OpenStudy (anonymous):

z=m-u/om

OpenStudy (mathmale):

z=m-u/om \[z=\frac{ x-\mu }{ \sigma}\]

OpenStudy (mathmale):

How does increasing the pop. standard deviation affect z? Where is that sigma located?

OpenStudy (anonymous):

it decreases z

OpenStudy (mathmale):

right. if the pop std dev incr, z decr. yes.

OpenStudy (anonymous):

and, as the number of scores increase, z decreases?

OpenStudy (mathmale):

"How does increasing the number of scores in a sample affect z?" What's your basis for saying that z decreases? Need to share the formula for sample std. dev.; it's different from that for population std. dev.

OpenStudy (anonymous):

since it is in the denominator, it will decrease our answer

OpenStudy (mathmale):

Decrease our what?

OpenStudy (anonymous):

z

OpenStudy (mathmale):

Yes, the SAMPLE z would decrease if n were to increase.

OpenStudy (anonymous):

and as standard error increases, z increases

OpenStudy (anonymous):

or m-u

OpenStudy (mathmale):

Yes. Mind asking questions, if you have any more?

OpenStudy (anonymous):

is the difference between the sample mean and the population mean m-u or is it the standard error?

OpenStudy (mathmale):

Look up "standard error of the mean" on the 'Net, please. As a general rule, the sample mean and the pop'n mean are the same quantity, but the std. deviations differ.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!