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Mathematics 15 Online
OpenStudy (anonymous):

pic posted!! just check my answer please!!

OpenStudy (anonymous):

OpenStudy (anonymous):

@blurbendy @pgpilot326

OpenStudy (anonymous):

@mary.rojas

OpenStudy (mary.rojas):

Whats 80 percent of the highest score?

OpenStudy (mary.rojas):

@gypsy1274 help?

OpenStudy (mary.rojas):

@phi help?

OpenStudy (phi):

use a z table to find how many std dev 80% is above the average

OpenStudy (anonymous):

sorry my z table is confusing so its not that confusing

OpenStudy (anonymous):

my answer is D. 580 but im NOT SURE!

OpenStudy (anonymous):

*SO ITS NOT THAT HELPFUL

OpenStudy (phi):

this table http://www.sjsu.edu/faculty/gerstman/EpiInfo/z-table.htm says s.d. is 0.84 so you are 100 pts * 0.84 = 84 pts above 500 584 to the nearest multiple of ten, that is 580

OpenStudy (anonymous):

yay :)

OpenStudy (mary.rojas):

:)

OpenStudy (anonymous):

also to what statistical quantity does "sigma" refer to?

OpenStudy (anonymous):

So you need to find the z-score associated with 80%, meaning 80% of the scores lie below that value. Looking at the table, we look inside at the probabilities and look for .3000 or the value closest to it. This is because .5 + .3 = .8 or 80%. A z-score of .84 comes closest (.2995) so now I have to convert that to an SAT score. \[z=0.84=\frac{ x-\mu }{ \sigma }\] we want to solve this for x using the info in the problem. Thus \[x=z \times \sigma+\mu=\left( 0.84 \right)\left( ? \right)\left( 100 \right)+500=584\]

OpenStudy (anonymous):

yeah its ok, @phi said my answer(580) was correct :)

OpenStudy (anonymous):

but my next question is: what statistical quantity does "sigma" refer to?

OpenStudy (anonymous):

it's the standard deviation the z-score formula is a conversion, like yards to feet.

OpenStudy (anonymous):

ok so STANDARD DEVIATION

OpenStudy (anonymous):

im going to submit it ok

OpenStudy (anonymous):

Imagine you have 4 feet and want to convert it to yards. you take the feet and divide by 3 because there are 3 feet per yard. Right? z-scores are exactly the same, except sigma or std dev is our yardstick. Suppose we are 6 units away from the mean and our std dev is 2 units. How many std devs away from the mean are we? This is exactly what the z-score is asking. So we are 3 std devs away from the mean and our z-score is just that... 3. Hope that helps.

OpenStudy (anonymous):

The + or - is telling us if we're above or below the mean, resp.

OpenStudy (anonymous):

oh.. yeah that kinda makes sense

OpenStudy (anonymous):

The right-hand "tail" of the standard normal curve can be defined as the part of it that lies at least two standard deviations to the right of the mean. According to the Empirical Rule, approximately what percentage of the area under the whole curve is in the right-hand tail? Round your answer to the nearest tenth.

OpenStudy (anonymous):

☼☼NEW QUESTION☼☼

OpenStudy (anonymous):

need to do this one fast!

OpenStudy (anonymous):

look at the table with z = 2.00. subtract this from .5 and you'll have your answer.

OpenStudy (anonymous):

subtract 2-.5?

OpenStudy (anonymous):

no... if z = 2.00, the area from the mean to z=2 is .4772. the area in the tail is .5 - .4772 = .0228. Rounded to the nearest tenth, that's 0.

OpenStudy (anonymous):

wut? I thought it was 2+ 0.5 so I was gonna submit 2.5 ...

OpenStudy (anonymous):

im not sure if ur right on this

OpenStudy (anonymous):

@mary.rojas

OpenStudy (anonymous):

@phi

OpenStudy (anonymous):

@pgpilot326 r u sure!!!?? :( :(

OpenStudy (anonymous):

not 2.5. the z-scores are on the outside of the table. they represent the number of std devs from the mean. the values inside the table are the probabilities (same as the area under the curve). You don't combine the two, you relate the two.

OpenStudy (anonymous):

no I mean are u sure it's .228... cuz that's 0!!

OpenStudy (anonymous):

or 0.0228 same thing :p

OpenStudy (anonymous):

oh, sorry. did I put the decimal in the wrong spot? No, I did it correctly. The area in the tail is 0.0228. If this is rounded to the nearest tenth it would be 0 right?

OpenStudy (anonymous):

yea.. I just feel hesitant cuz 0 would be the answer.. which feels weird to me, but ill submit it anyways

OpenStudy (anonymous):

ok really quick- my next q.!

OpenStudy (anonymous):

OpenStudy (anonymous):

yeah, I know what you mean. It seems like an odd way to ask the question.

OpenStudy (anonymous):

Empirical rule. Within 1 std dev you expect 68%, within 2 you expect 95%. This is within 1 std dev (plus or minus 1), so 0.68.

OpenStudy (anonymous):

whew! id already submitted that

OpenStudy (anonymous):

OpenStudy (anonymous):

☼next one☼

OpenStudy (anonymous):

is this D?

OpenStudy (anonymous):

or wait whats the right answer?

OpenStudy (anonymous):

I think I know it. what is it

OpenStudy (anonymous):

Didn't we already do this one?

OpenStudy (anonymous):

yea but I think its asking for something else

OpenStudy (mary.rojas):

@music101 open a new post because this post is too long!!! lol!

OpenStudy (anonymous):

ok.

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