Q6. Use the following means and standard deviations for two analytical reasoning tests:

For Test A, = 21, = 3

For Test B, = 500, =100.

A. You took both Test A and Test B. You get a 26 on Test A and a 640 on Test B. The college that you apply to only needs one score. Which test score do you want to send them (that is, which score is better, 26 or 640?). Why?(Use z scores to show your reasoning process.)[4 marks]

B. What is the probability of having a Test A score of 17 or lower?(Show the z score that will help you find the probability.)[2 marks]

C. What is the minimum Test B score needed to be in the top 9% of the population?(Show the z score that will help you solve this question.) [2 marks]

D. What is the probability of scoring between 520 and 650 on the Test B?(Show the z scores that will help you solve this question.)[3 marks]

E. What is your percentile rank if you have a Test A score of 22.5?(Show the z score that will help you solve this question.)[2 marks]