Gregorio took two tests. find his z-score for each test. (remember: the number of standard deviations between a score and the mean score is indicated by a z-score.) on which did he score better compared with others in his class? test a test b gregorio’s score 62 70 mean score 80 90 standard deviation 6 10 a. test a: 3; test b: 2; test a c. test a: –2; test b: –3; test a b. test a: –3; test b: –2; test b d. test a: –3; test b: –2; test a

As the problem statement tells you,

... z = (x - μ)/σ

When you have multiple calculations of the same type, sometimes it is easier to do the calculation using a spreadsheet or a list. Here, we use a list for the numbers of [testA, testB], so we can put the calculations all in one expression. Math operations are performed on corresponding members of the list.

([62, 70] - [80, 90])/[6, 10]

... = [-18/6, -20/10] = [-3, -2]

-2 > -3, so Gregorio did better on Test B.

The appropriate answer choice is

... b. Test A: –3; Test B: –2; Test B

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

ab will be equal to