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oy thats alot of words ...
we have human x-bar, and human S values .. do you know what those refer to?
I have no idea...
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?
standard deviation is my guess
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.
can you find that zscore formula?
z score= x-mean/standard deviation
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?
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
i agree with those values
so what can we consider; given a 95% : 5% ratio for normaility
do you recall your empirical rule for approximating with standard deviations?
Like I said the material isn't comprehensive at all but I know that 95% of the data falls within 2 standard deviations
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?
all three values are less than -2
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?
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 :)
That's what I figured they meant. Thank you! I actually understand it now!
good luck :)