Answer:
The minimum score needed to be in the top 2% of the scores on the test
is n = 10,00,000
Step-by-step explanation:
Step(i):-
Mean of the Population = 110
Standard deviation of the Population = 20
The estimated error = 2% = 0.02
Step(ii):-
The estimated error is determined by
[tex]E = \frac{S.D}{\sqrt{n} }[/tex]
[tex]0.02 = \frac{20}{\sqrt{n} }[/tex]
⇒ [tex]\sqrt{n} = \frac{20}{0.02} = 1000[/tex]
Squaring on both sides, we get
n = 10,00,000
The minimum score needed to be in the top 2% of the scores on the test
is n = 10,00,000
