Statistics Question

Question

On a different test, a test of physical strength, with higher scores representing more physical strength, Annie’s result is a T score of 65 and Sue’s result is a z score of 1.5. According to this test, who is stronger? Justify your answer.

Answer 1

Thank you for your question!

I think the conversion that they are after here in order to do the comparison is using the equation T = 10Z + 50

So in this case the T score of 65 translates into a Z score of 1.5

65 = 10Z + 50

15 = 10Z

1.5 = Z

Since that matches Sue’s score of 1.5 that means that they would be equally strong

I hope that helps :)