Question

7. Differentiating normal z scores from all z scores Aa Aa Recall that z scores have the same shape as the original raw scores. That is, if the the raw scores are normally distributed, then when you transform them to z scores, these z scores are also normally distributed. Here we will cal such normally distributed z scores "normal z scores. Consider the following statements. Some of these statements are necessarily true for all z scores, some of these statements are necessarily true for normal z scores, and others of these statements are not necessarily true for any z scores. (Note: Here necessarily true means the statement can be assumed for those particular z scores with certainty. It is possible that the statement can be true, for example, for some particular cases, but not all. In such a case, the statement should not be checked as true.) For the following statements, select whether the statement is true for all z scores, true for normal z scores, or not true for z scores. True for All z scores True for Normal z scores Not True for z scores The mean of the distribution of z scores is 1, and the standard deviation is 0. Fifty percent of the distribution of z scores have negative values. A z score of-2 is farther from the mean than a z score of +1.

Answer 1

	true for all	true for normal	not true
1) mean of z Is 1			correct
2) 50% of z scores are negative		correct
3)A z score of -2 is farther from	correct