annipuppi
  • annipuppi
Question involving z-scores... I'm really confused
Statistics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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amistre64
  • amistre64
oy thats alot of words ...
amistre64
  • amistre64
we have human x-bar, and human S values .. do you know what those refer to?
annipuppi
  • annipuppi
I have no idea...

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amistre64
  • amistre64
x-bar is a sample mean S .... has to be defined in your material somewhere as well. what would you think it should tell us?
amistre64
  • amistre64
standard deviation is my guess
amistre64
  • amistre64
now, there is a formula that should have been presented to you in your course ... it allows us to calcuate a zscore; given a random variable value for x, a sample mean of x-bar, and a standard deviation.
amistre64
  • amistre64
can you find that zscore formula?
annipuppi
  • annipuppi
z score= x-mean/standard deviation
amistre64
  • amistre64
right so they give us the values, all we have to do is compute z for waists, what are our x, mean, and standard deviation?
amistre64
  • amistre64
ok, so lets just subtract the means from the dolls; and then divide off the S doll: 75.0 56.5 72.0 -mean:-91.2 -80.9 -93.7 ------------------------ -16.2 -24.4 -21.7 /S /4.8 /9.8 /6.8 ----------------------- z1 z2 z3
amistre64
  • amistre64
i agree with those values
amistre64
  • amistre64
so what can we consider; given a 95% : 5% ratio for normaility
amistre64
  • amistre64
do you recall your empirical rule for approximating with standard deviations?
annipuppi
  • annipuppi
Like I said the material isn't comprehensive at all but I know that 95% of the data falls within 2 standard deviations
amistre64
  • amistre64
that was what i was looking to see :) so anything less than z=-2 falls outside the range of what is considered 'acceptable' or 'normal'. do we have any values for z that are less than -2?
annipuppi
  • annipuppi
all three values are less than -2
amistre64
  • amistre64
then we could argue that the dolls proportions exhibit measurements that are less than the acceptable threshold ... they are below the 'minimum' values for normality. right?
annipuppi
  • annipuppi
yes
amistre64
  • amistre64
of course the wording; "the most different" might suggest that the -3 values are what they are looking to argue with. how you process this is highly subjective :)
annipuppi
  • annipuppi
That's what I figured they meant. Thank you! I actually understand it now!
amistre64
  • amistre64
good luck :)

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