Ahighly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 24. what is the minimum score that an applicant must make on the test to be accepted?

The minimum score that an applicant must make on the test to be accepted is 360.

Step-by-step explanation:

Given : A highly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 24.

To find : What is the minimum score that an applicant must make on the test to be accepted?

Solution :

We apply the z formula,

Where, z value= 2.5

is the mean of the population

is the standard deviation

x is the sample mean.

Substituting the values in the formula,

Therefore, The minimum score that an applicant must make on the test to be accepted is 360.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

step-by-step explanation: s