Answer:
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.