anonymous
  • anonymous
Statistics Algebra 2 help !
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
The grades on the last science exam had a mean of 89%. Assume the population of grades on science exams is known to be distributed normally, with a standard deviation of 14%. Approximately what percent of students earn a score between 75% and 89%?
anonymous
  • anonymous
Help please @jim_thompson5910 @amistre64 @Mertsj @SolomonZelman @iGreen @jdoe0001 @Nnesha @e.mccormick @Loser66 @Luigi0210 @ash2326 @surjithayer @KyanTheDoodle @oldrin.bataku @JoannaBlackwelder @Lady.Liv1776 ???
amistre64
  • amistre64
hmm, id have to know what your material has covered so far

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amistre64
  • amistre64
and what you have to work the problem with
amistre64
  • amistre64
it feels to me like an empirical rule approximation tho ...
anonymous
  • anonymous
it is indeed, but im not sure how to use it
amistre64
  • amistre64
well, determine how many deviations are between the mean and your end points
amistre64
  • amistre64
what is our mean?
anonymous
  • anonymous
89%
amistre64
  • amistre64
and what is our left end point?
anonymous
  • anonymous
75%
anonymous
  • anonymous
with a standard deviation of 14%
amistre64
  • amistre64
so, the difference between them is: what is 89-75?
anonymous
  • anonymous
14
amistre64
  • amistre64
which is exactly 1 standard deviation to the left of the mean. right?
amistre64
  • amistre64
if we calculate the same with the other end point .. well, 89 to 89 is a difference of 0, so no standard deviations are to the right of the mean. what are your thoughts?
anonymous
  • anonymous
I didnt get it, can you elaborate more?
amistre64
  • amistre64
the only thing left to elaborate is what does the empirical rule state? it may be called something else in your material tho.
amistre64
  • amistre64
and do we have options to choose from?
anonymous
  • anonymous
68% will fall within the first standard deviation, 95%, the first two and 99.7 first three
anonymous
  • anonymous
the options are: 38.5% 15.7% 50% 34.1%
amistre64
  • amistre64
thats the rule yes, but it is better stated: within +- 1sd from the mean falls 68% of the data. 68/2 = 34 so 34% to the left (-1 sd), and 34% to the right (+1 sd) we know we are 1sd to the left, and 0 to the right ... what does that tell us?
amistre64
  • amistre64
|dw:1437697237025:dw|
anonymous
  • anonymous
I'm lost on this....
amistre64
  • amistre64
it as plain as i can make it, you will have to tell me where it is losing you at.
anonymous
  • anonymous
"within +- 1sd from the mean falls 68% of the data. 68/2 = 34 so 34% to the left (-1 sd), and 34% to the right (+1 sd) we know we are 1sd to the left, and 0 to the right ... what does that tell us?"
anonymous
  • anonymous
I dont know what "that tell us"
amistre64
  • amistre64
we determined how many standard deviations we are to the left of the mean, didnt we? 89-75 = ??
anonymous
  • anonymous
14
amistre64
  • amistre64
14 is the difference between the mean and the endpoint, and our standard deviation has a length of 14. what is 14/14?
anonymous
  • anonymous
1
amistre64
  • amistre64
so we are 1 sd to the left of the mean with that calculation. using the rule that you stated, or rather that i stated better: within +- 1sd from the mean falls 68% of the data. 68/2 = 34 so 34% to the left (-1 sd), and 34% to the right (+1 sd) we know we are 1sd to the left ... which gives us a value of ????
anonymous
  • anonymous
ohh ok I think I get it
anonymous
  • anonymous
the answer would be 34% of the students will get between 75 and 89
amistre64
  • amistre64
we are 0 to the right of the mean so there is nothing to concern ourselves with over on that side ... so all in all, what would you say the answer chould be?
anonymous
  • anonymous
34.1%
amistre64
  • amistre64
thats what I would go with as well :)
anonymous
  • anonymous
got it right thanks
amistre64
  • amistre64
good luck

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