Hi can anyone help me with a statistics problem:
Here it is:
You have a student, Martina, entering your school from another state. You need to know which math class you should place her in. The scores you normally use are SAT scores (mean=500 and standard deviation=100). The rules you use for placement are:

700-800 Calculus
500-699 Trigonometry
300-499 Geometry
100-299 Algebra

However, this student did not take the SAT, but instead took the AAT. Scores for the AAT are reported with a mean of 80 and a standard deviation of 8. Martina received a raw score of 84 on the math portio

Question

Hi can anyone help me with a statistics problem:
Here it is:
You have a student, Martina, entering your school from another state. You need to know which math class you should place her in. The scores you normally use are SAT scores (mean=500 and standard deviation=100). The rules you use for placement are: 

700-800 Calculus 
500-699 Trigonometry 
300-499 Geometry 
100-299 Algebra 

However, this student did not take the SAT, but instead took the AAT. Scores for the AAT are reported with a mean of 80 and a standard deviation of 8. Martina received a raw score of 84 on the math portio

campbell_st · Answer

find the z score - or the standard score) for the AAT test

$$z = (x - \mu)/\sigma$$

$$z = (84 - 80)/8$$

z = 0.5   so Matha scored 1/2 a standard deviation above the mean

the equivalent for the SAT would be 

$$x = \mu + z \times \sigma$$

her score would be 500 + 0.5 x 100

    Martina would have an equivalent score of 550

anonymous · Answer

Thank you so much!