Suppose that scores on a particular test are normally distributed with a mean of 110 and a standard deviation of 20. What is the minimum score needed to be in the top 2% of the scores on the test

Respuesta :

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