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Z-Score Corresponding to Values of 'x'

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1) Compute the z-score corresponding to each of the following values of x:

a. x=40, s=5, x (with line over) = 30
b. x=90, (weird u for subtracting x with line over) = 89, (weird o with line over it for dividing the result by s) = 2
c. (weird u for subtracting x with line over) = 50, (weird o with line over it for dividing the result by s) = 5, x = 50
d. s=4, x=20, x (with line over) = 30

2) What is the 50th percentile of a quantitative data set called?

3) Suppose that 40 and 90 are two elements of a population data set and that their z-scores are -2 and 3, respectively. Using only this information, is it possible to determine the population's mean and standard deviation? If so, find them. If not, explain why its not possible.

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Solution Summary

The expert examines z-scores for corresponding to values of x.

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Hi there,

Thanks for letting me work on your post. Here is my explanation:

1) a. z=(40-30)/5=2
b. z=(90-89)/2=0.5
c. ...

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