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Normal z score for normally distributed data

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Four students each received a raw score of 22 on a different test. Compute the z-score for the raw score value of 22 for each student, given information about the distributions of X values for each test. Which student (a, b, c, or d) had the highest score value, compared to the normative group who took the same test? Which student did the poorest in this group, compared to the normative group who took the same test? Why?
a. X = 22, when M = 20, SD = 5, Z = ?
b. X = 22, when M = 30, SD = 5, Z = ?
c. X = 22, when M = 16, SD = 2, Z = ?
d. X = 22, when M = 10, SD = 8, Z = ?

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Solution Summary

The solution gives detailed step on finding z score for normally distributed data. All formula and calculations are shown and explained.

Solution Preview

We know that z=(X-M)/SD.

a. z=(22-20)/5=0.4

b. ...

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