Question 469242: I have read my text more than once, googled help, and have talked to my teacher but this is still like learning another language to me.
A). How can standardized z- scores be used to compare people across different contexts, such as the batting averages of 2 players - one who played in the 1970s and one who played in the 1970s?
B). Z-Scores are standard scores whereas t-scores are standardized scores. Compare and contrast the similarities and differences between the 2 scores and explain when and why you would use each
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I have read my text more than once, googled help, and have talked to my teacher but this is still like learning another language to me.
A). How can standardized z-scores be used to compare people across different contexts, such as the batting averages of 2 players - one who played in the 1870s and one who played in the 1970s?
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The z-scores are a tape measure which allows us to compare the play
for people in two separate sets of data. Each set has an average score
which can be compared and each uses the standard deviation for the set
to see how extraordinary the performance of a particular individual was
when compared to the rest of the data set.
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B). Z-Scores are standard scores whereas t-scores are standardized scores. Compare and contrast the similarities and differences between the 2 scores and explain when and why you would use each
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z-scores all depend on one mean and one calculated standard deviation.
The t-scores are measured on a different bell-shaped distribution for
each possible sample size. Your text may tell you to use a t-distribution
for all samples of size n<=30 or it may tell you to use a t-dist. for
all mean-related problems and a z-dist for all proportion-related problems.
Check you text as there is no general agreement on this matter.
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Cheers,
Stan H.
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