Question

According to the material presented in chapter 5 of Social Statistics for a Diverse Society ed. 8, why do researchers use z scores?

Answer #1

**Solution:** The z-score is the standardized score
and it tells us how many standard deviations above or below a
particular value is from the mean. Suppose we have a random
variable x = 130 (math score of a student in the class). Let us
assume the mean of the math score is 120 with a standard deviation
of 10. Now the z-score for the student's score x = 130 is:

Therefore, the z-score of 1 means the student's score x =130 is 1 standard deviation above the mean.

This z-score is also used to find the area under the normal curve. To find that, we first need to determine the z-score and then we need to use the standard normal table (contains pre-calculated z-scores and their corresponding probabilities) to find the required probability.

Hope this helps!

From Research Methods and Statistics 5th ed. would you explain
to me how to find critical value of z in chapter 8 question 2d?
I found that z=-1.59
Therefore, Z_obt = -1.59
but how do I use Table A.2 to determine Z_cv?
note: I know the answer is -1.65. What I want to know is how do
you get that?

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