Question

Assuming a normal​ curve, find the lowest Z score a person could have while being in the following top percentages of a country in mathematics ability.

(a) 10% (b) 3%

​

(a) The lowest Z score a person could have while being in the top 10​%

of the country is

​(Round to two decimal places as​ needed.)

​(b) The lowest Z score a person could have while being in the top

3​% of the country is

Answer 1

solution? Given that, a) The 2-distribution of the 10 % is PC 272) = 10 olo =1-P CZ cz)= 0.10 Plz 2 z) =iro.10 PC2 <z ) = 0.90 P(24-1.280 =0.90 - Z -1.28 - The Z-score = -1.28 b) the a- distribution of the 3 % is P(Z > 2) = 3 % -1-P C2 <z ) = 0.03 Pczaz) =1-0.03 P(2 <z) = 0.97 Prz<1.88) = 0.97 z =1.88 The Z-score = 188