anonymous
  • anonymous
This question has to do with z-scores... A dean must distribute salary raises to her faculty for next year. She has decided that the mean raise is to be $2000, the standard deviation of raises is to be $400, and the distribution is to be normal. She will attempt to distribute these raises on the basis of merit, meaning that people whose performance is better get better raises. The 5% of the faculty who have done nothing useful in years will receive no more than $ _________ each.
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

amistre64
  • amistre64
ahhhh.... standard deviations eh.... where my ti-83 at?
amistre64
  • amistre64
since it is population; we use mu and such right?
anonymous
  • anonymous
yes

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
but somehow i need to get a z value or an x value for z=x-mean/sd
amistre64
  • amistre64
2 standards are within the normal right? 95%......
anonymous
  • anonymous
yup
amistre64
  • amistre64
z = x-mu/omega omega = sqrt(n.p.q) right? and mu=n.p
anonymous
  • anonymous
huh? the standard deviation is already given and so is the mean :S
amistre64
  • amistre64
lol...ok; then mu = 2000 and omega then is 400 right?
anonymous
  • anonymous
yup
anonymous
  • anonymous
and the 5% is the smaller portion of the distribution. but I don't know how to if its the z score that gives you the 0.05 or if its something else
amistre64
  • amistre64
use empiraical rule? gotta similar problem here where sd and mean are given
amistre64
  • amistre64
2000 + 400 is one deviation 2000 + 800 is 2 deviations 2000 + 1200 is 3 deviations right?
amistre64
  • amistre64
those in the out liers are more than 2 standards so they get a raise of 2000 - 1200 = 800 right?
amistre64
  • amistre64
make sense?
anonymous
  • anonymous
yes i think so
amistre64
  • amistre64
<.......-2 sd ........ -1 sd..........mean .........etc
anonymous
  • anonymous
yup
amistre64
  • amistre64
might of gone to far in that but you get the basic premise right?
anonymous
  • anonymous
lol yea
amistre64
  • amistre64
good :) we just went over that in stats class yesterday :)
anonymous
  • anonymous
sweet, so do you have a z table with you?
amistre64
  • amistre64
i got some stuff in my stats book; that might help
amistre64
  • amistre64
table a-2; standard deviation (z) distribution
anonymous
  • anonymous
i have multiple choice answers if it makes a difference. a) 1000, b) 1980, c) 1340 and d)2192 it can't be over 2000 so its one of the first 3 choices :S
anonymous
  • anonymous
ahh hate stats!
amistre64
  • amistre64
c looks plausible, but cant really say for sure....
amistre64
  • amistre64
2000 - 2(400) = 1200; but thats just an educated guess...
amistre64
  • amistre64
id have to look up how to use a z table to be sure
amistre64
  • amistre64
http://www.intmath.com/counting-probability/z-table.php
anonymous
  • anonymous
well to my understanding, if the 5% is in the smaller portion of the distribution, then you look up0.05 there and get the z score. then just stick that value int he equation and solve for x but its not working
amistre64
  • amistre64
95% falls at the 2 line; and that result is .4772; or 47.72% at most 2000*.4772 = answer maybe? ....954.4 that dint work
amistre64
  • amistre64
http://davidmlane.com/hyperstat/z_table.html is a calculator for it i think
amistre64
  • amistre64
.02275 is what that gives me
anonymous
  • anonymous
thanks!
amistre64
  • amistre64
what to do with it I aint got a clue lol
anonymous
  • anonymous
hmm it won't let me put the 0.5 anywhere though just keeps saying 0.0000
anonymous
  • anonymous
lol me either.
amistre64
  • amistre64
i put in the mean 2000 the sd 400 and choose below 1200 for the 5%
amistre64
  • amistre64
i got a 1342 on the bottom part of it lol
anonymous
  • anonymous
yea i got that too but i dont really know what it means lol
amistre64
  • amistre64
i think it means pick c :)
anonymous
  • anonymous
lol okay. wth! its only one question haha thank you sooooo much for your help!!
amistre64
  • amistre64
:) hope we are right ;)
anonymous
  • anonymous
me too :D

Looking for something else?

Not the answer you are looking for? Search for more explanations.