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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: matt123 on November 07, 2010, 06:20:31 pm

Title: 2009 vcaa 3d .. how did they work out Z value?
Post by: matt123 on November 07, 2010, 06:20:31 pm
Hey guys
http://www.vcaa.vic.edu.au/vcaa/vce/studies/mathematics/cas/pastexams/2009/2009mmCAS2-w.pdf

Q3d
how do u work out the Z value?
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: matt123 on November 07, 2010, 06:25:48 pm
?
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: InitialDRulz on November 07, 2010, 06:26:56 pm
we are asking the same in this thread posted an hour ago

http://vcenotes.com/forum/index.php/topic,33059.0.html

also!!! they used 99.5% but WHY!
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: matt123 on November 07, 2010, 06:29:15 pm
we are asking the same in this thread posted an hour ago

http://vcenotes.com/forum/index.php/topic,33059.0.html

also!!! they used 99.5% but WHY!
Problem is
no one explained how to actually find the Z value
i got no clue.
someone please help
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: stonecold on November 07, 2010, 06:31:12 pm
0.5% need to be under the range, and 0.5% need to be over.

Therefore, to get a z-value, you just go invNorm(0.005,0,1)  Remember that 0.5% is 0.005.

then to get s.d. you just rearrange the z score formula

z=(x-mean)/s.d.

s.d.=(x-mean)/z

s.d.=(65.6-67)/-2.57583

     = 54mm
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: davidle_10 on November 07, 2010, 06:31:30 pm
Well u know that 99% of balls from 65.6<X<68.4. So that means there are two areas outside this interval: (-∞, 65.6] and [68.4,∞). So the are in each of these is (1-.99)/2=0.05. Then you know the area from (-∞, 65.6] is 0.005. So the z value that corresponds to this is found by using invNorm(Area=0.005,µ=0, sd=1)
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: matt123 on November 07, 2010, 06:33:44 pm
0.5% need to be under the range, and 0.5% need to be over.

Therefore, to get a z-value, you just go invNorm(0.005,0,1)  Remember that 0.5% is 0.005.

then to get s.d. you just rearrange the z score formula

z=(x-mean)s.d.

s.d.=(x-mean)/z

s.d.=(65.6-67)/-2.57583

     = 54mm

Buddy
it wont work for me
i go to INV norm

type
0.005 prob
1
0

and i get "invalid"

lol
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: 3Xamz on November 07, 2010, 06:36:08 pm
http://vcenotes.com/forum/index.php/topic,33059.0.html
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: Whatlol on November 07, 2010, 06:36:43 pm
Just go to normal distrubution and then write in lower and uper terminals, and mean. then write x for S.D.

then make that expression = 0.99 and solve for x.
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: matt123 on November 07, 2010, 06:37:28 pm
Just go to normal distrubution and then write in lower and uper terminals, and mean. then write x for STD.

then make that expression = 0.99 and solve for x.


yeah i did and it worked thanks

but where did u get 0.995 from? isnt it 0,997?
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: matt123 on November 07, 2010, 06:37:48 pm
btw
did it again'
and it worked thanks

but where did u get 0.995 from? isnt it 0,997
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: 3Xamz on November 07, 2010, 06:39:31 pm
.997 is for 3 standard deviations either side of the mean.
We want .99, so the whole .997 mumbo-jumbo is irrelevant :)
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: matt123 on November 07, 2010, 06:40:23 pm
.997 is for 3 standard deviations either side of the mean.
We want .99, so the whole .997 mumbo-jumbo is irrelevant :)

so then how did u get .995?
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: Whatlol on November 07, 2010, 06:41:27 pm
.997 is for 3 standard deviations either side of the mean.
We want .99, so the whole .997 mumbo-jumbo is irrelevant :)

so then how did u get .995?

its because on either side of 0.99 is 0.005
Title: Re: 2009 vcaa 3d .. how did they work out Z value?
Post by: 3Xamz on November 07, 2010, 06:41:44 pm
LOL refer to the other thread we were talking in. :)